Basket of fruit

In six baskets, the seller has fruit. In individual baskets, there are only apples or just pears with the following number of fruits: 5,6,12,14,23 and 29. "If I sell this basket," the salesman thinks, "then I will have just as many apples as a pear." Which basket did the salesman think?

Result

x =  29

Solution:

j5j6j12j14j23j29 :::H=0; J=89
 **** K=5 ** H=0; J=84
 **** K=6 ** H=0; J=83
 **** K=12 ** H=0; J=77
 **** K=14 ** H=0; J=75
 **** K=23 ** H=0; J=66
 **** K=29 ** H=0; J=60
h5j6j12j14j23j29 :::H=5; J=84
 **** K=5 ** H=0; J=84
 **** K=6 ** H=5; J=78
 **** K=12 ** H=5; J=72
 **** K=14 ** H=5; J=70
 **** K=23 ** H=5; J=61
 **** K=29 ** H=5; J=55
j5h6j12j14j23j29 :::H=6; J=83
 **** K=5 ** H=6; J=78
 **** K=6 ** H=0; J=83
 **** K=12 ** H=6; J=71
 **** K=14 ** H=6; J=69
 **** K=23 ** H=6; J=60
 **** K=29 ** H=6; J=54
h5h6j12j14j23j29 :::H=11; J=78
 **** K=5 ** H=6; J=78
 **** K=6 ** H=5; J=78
 **** K=12 ** H=11; J=66
 **** K=14 ** H=11; J=64
 **** K=23 ** H=11; J=55
 **** K=29 ** H=11; J=49
j5j6h12j14j23j29 :::H=12; J=77
 **** K=5 ** H=12; J=72
 **** K=6 ** H=12; J=71
 **** K=12 ** H=0; J=77
 **** K=14 ** H=12; J=63
 **** K=23 ** H=12; J=54
 **** K=29 ** H=12; J=48
h5j6h12j14j23j29 :::H=17; J=72
 **** K=5 ** H=12; J=72
 **** K=6 ** H=17; J=66
 **** K=12 ** H=5; J=72
 **** K=14 ** H=17; J=58
 **** K=23 ** H=17; J=49
 **** K=29 ** H=17; J=43
j5h6h12j14j23j29 :::H=18; J=71
 **** K=5 ** H=18; J=66
 **** K=6 ** H=12; J=71
 **** K=12 ** H=6; J=71
 **** K=14 ** H=18; J=57
 **** K=23 ** H=18; J=48
 **** K=29 ** H=18; J=42
h5h6h12j14j23j29 :::H=23; J=66
 **** K=5 ** H=18; J=66
 **** K=6 ** H=17; J=66
 **** K=12 ** H=11; J=66
 **** K=14 ** H=23; J=52
 **** K=23 ** H=23; J=43
 **** K=29 ** H=23; J=37
j5j6j12h14j23j29 :::H=14; J=75
 **** K=5 ** H=14; J=70
 **** K=6 ** H=14; J=69
 **** K=12 ** H=14; J=63
 **** K=14 ** H=0; J=75
 **** K=23 ** H=14; J=52
 **** K=29 ** H=14; J=46
h5j6j12h14j23j29 :::H=19; J=70
 **** K=5 ** H=14; J=70
 **** K=6 ** H=19; J=64
 **** K=12 ** H=19; J=58
 **** K=14 ** H=5; J=70
 **** K=23 ** H=19; J=47
 **** K=29 ** H=19; J=41
j5h6j12h14j23j29 :::H=20; J=69
 **** K=5 ** H=20; J=64
 **** K=6 ** H=14; J=69
 **** K=12 ** H=20; J=57
 **** K=14 ** H=6; J=69
 **** K=23 ** H=20; J=46
 **** K=29 ** H=20; J=40 OK OK OK 
h5h6j12h14j23j29 :::H=25; J=64
 **** K=5 ** H=20; J=64
 **** K=6 ** H=19; J=64
 **** K=12 ** H=25; J=52
 **** K=14 ** H=11; J=64
 **** K=23 ** H=25; J=41
 **** K=29 ** H=25; J=35
j5j6h12h14j23j29 :::H=26; J=63
 **** K=5 ** H=26; J=58
 **** K=6 ** H=26; J=57
 **** K=12 ** H=14; J=63
 **** K=14 ** H=12; J=63
 **** K=23 ** H=26; J=40
 **** K=29 ** H=26; J=34
h5j6h12h14j23j29 :::H=31; J=58
 **** K=5 ** H=26; J=58
 **** K=6 ** H=31; J=52
 **** K=12 ** H=19; J=58
 **** K=14 ** H=17; J=58
 **** K=23 ** H=31; J=35
 **** K=29 ** H=31; J=29
j5h6h12h14j23j29 :::H=32; J=57
 **** K=5 ** H=32; J=52
 **** K=6 ** H=26; J=57
 **** K=12 ** H=20; J=57
 **** K=14 ** H=18; J=57
 **** K=23 ** H=32; J=34
 **** K=29 ** H=32; J=28
h5h6h12h14j23j29 :::H=37; J=52
 **** K=5 ** H=32; J=52
 **** K=6 ** H=31; J=52
 **** K=12 ** H=25; J=52
 **** K=14 ** H=23; J=52
 **** K=23 ** H=37; J=29
 **** K=29 ** H=37; J=23
j5j6j12j14h23j29 :::H=23; J=66
 **** K=5 ** H=23; J=61
 **** K=6 ** H=23; J=60
 **** K=12 ** H=23; J=54
 **** K=14 ** H=23; J=52
 **** K=23 ** H=0; J=66
 **** K=29 ** H=23; J=37
h5j6j12j14h23j29 :::H=28; J=61
 **** K=5 ** H=23; J=61
 **** K=6 ** H=28; J=55
 **** K=12 ** H=28; J=49
 **** K=14 ** H=28; J=47
 **** K=23 ** H=5; J=61
 **** K=29 ** H=28; J=32
j5h6j12j14h23j29 :::H=29; J=60
 **** K=5 ** H=29; J=55
 **** K=6 ** H=23; J=60
 **** K=12 ** H=29; J=48
 **** K=14 ** H=29; J=46
 **** K=23 ** H=6; J=60
 **** K=29 ** H=29; J=31
h5h6j12j14h23j29 :::H=34; J=55
 **** K=5 ** H=29; J=55
 **** K=6 ** H=28; J=55
 **** K=12 ** H=34; J=43
 **** K=14 ** H=34; J=41
 **** K=23 ** H=11; J=55
 **** K=29 ** H=34; J=26
j5j6h12j14h23j29 :::H=35; J=54
 **** K=5 ** H=35; J=49
 **** K=6 ** H=35; J=48
 **** K=12 ** H=23; J=54
 **** K=14 ** H=35; J=40
 **** K=23 ** H=12; J=54
 **** K=29 ** H=35; J=25
h5j6h12j14h23j29 :::H=40; J=49
 **** K=5 ** H=35; J=49
 **** K=6 ** H=40; J=43
 **** K=12 ** H=28; J=49
 **** K=14 ** H=40; J=35
 **** K=23 ** H=17; J=49
 **** K=29 ** H=40; J=20
j5h6h12j14h23j29 :::H=41; J=48
 **** K=5 ** H=41; J=43
 **** K=6 ** H=35; J=48
 **** K=12 ** H=29; J=48
 **** K=14 ** H=41; J=34
 **** K=23 ** H=18; J=48
 **** K=29 ** H=41; J=19
h5h6h12j14h23j29 :::H=46; J=43
 **** K=5 ** H=41; J=43
 **** K=6 ** H=40; J=43
 **** K=12 ** H=34; J=43
 **** K=14 ** H=46; J=29
 **** K=23 ** H=23; J=43
 **** K=29 ** H=46; J=14
j5j6j12h14h23j29 :::H=37; J=52
 **** K=5 ** H=37; J=47
 **** K=6 ** H=37; J=46
 **** K=12 ** H=37; J=40
 **** K=14 ** H=23; J=52
 **** K=23 ** H=14; J=52
 **** K=29 ** H=37; J=23
h5j6j12h14h23j29 :::H=42; J=47
 **** K=5 ** H=37; J=47
 **** K=6 ** H=42; J=41
 **** K=12 ** H=42; J=35
 **** K=14 ** H=28; J=47
 **** K=23 ** H=19; J=47
 **** K=29 ** H=42; J=18
j5h6j12h14h23j29 :::H=43; J=46
 **** K=5 ** H=43; J=41
 **** K=6 ** H=37; J=46
 **** K=12 ** H=43; J=34
 **** K=14 ** H=29; J=46
 **** K=23 ** H=20; J=46
 **** K=29 ** H=43; J=17
h5h6j12h14h23j29 :::H=48; J=41
 **** K=5 ** H=43; J=41
 **** K=6 ** H=42; J=41
 **** K=12 ** H=48; J=29
 **** K=14 ** H=34; J=41
 **** K=23 ** H=25; J=41
 **** K=29 ** H=48; J=12
j5j6h12h14h23j29 :::H=49; J=40
 **** K=5 ** H=49; J=35
 **** K=6 ** H=49; J=34
 **** K=12 ** H=37; J=40
 **** K=14 ** H=35; J=40
 **** K=23 ** H=26; J=40
 **** K=29 ** H=49; J=11
h5j6h12h14h23j29 :::H=54; J=35
 **** K=5 ** H=49; J=35
 **** K=6 ** H=54; J=29
 **** K=12 ** H=42; J=35
 **** K=14 ** H=40; J=35
 **** K=23 ** H=31; J=35
 **** K=29 ** H=54; J=6
j5h6h12h14h23j29 :::H=55; J=34
 **** K=5 ** H=55; J=29
 **** K=6 ** H=49; J=34
 **** K=12 ** H=43; J=34
 **** K=14 ** H=41; J=34
 **** K=23 ** H=32; J=34
 **** K=29 ** H=55; J=5
h5h6h12h14h23j29 :::H=60; J=29
 **** K=5 ** H=55; J=29
 **** K=6 ** H=54; J=29
 **** K=12 ** H=48; J=29
 **** K=14 ** H=46; J=29
 **** K=23 ** H=37; J=29
 **** K=29 ** H=60; J=0
j5j6j12j14j23h29 :::H=29; J=60
 **** K=5 ** H=29; J=55
 **** K=6 ** H=29; J=54
 **** K=12 ** H=29; J=48
 **** K=14 ** H=29; J=46
 **** K=23 ** H=29; J=37
 **** K=29 ** H=0; J=60
h5j6j12j14j23h29 :::H=34; J=55
 **** K=5 ** H=29; J=55
 **** K=6 ** H=34; J=49
 **** K=12 ** H=34; J=43
 **** K=14 ** H=34; J=41
 **** K=23 ** H=34; J=32
 **** K=29 ** H=5; J=55
j5h6j12j14j23h29 :::H=35; J=54
 **** K=5 ** H=35; J=49
 **** K=6 ** H=29; J=54
 **** K=12 ** H=35; J=42
 **** K=14 ** H=35; J=40
 **** K=23 ** H=35; J=31
 **** K=29 ** H=6; J=54
h5h6j12j14j23h29 :::H=40; J=49
 **** K=5 ** H=35; J=49
 **** K=6 ** H=34; J=49
 **** K=12 ** H=40; J=37
 **** K=14 ** H=40; J=35
 **** K=23 ** H=40; J=26
 **** K=29 ** H=11; J=49
j5j6h12j14j23h29 :::H=41; J=48
 **** K=5 ** H=41; J=43
 **** K=6 ** H=41; J=42
 **** K=12 ** H=29; J=48
 **** K=14 ** H=41; J=34
 **** K=23 ** H=41; J=25
 **** K=29 ** H=12; J=48
h5j6h12j14j23h29 :::H=46; J=43
 **** K=5 ** H=41; J=43
 **** K=6 ** H=46; J=37
 **** K=12 ** H=34; J=43
 **** K=14 ** H=46; J=29
 **** K=23 ** H=46; J=20
 **** K=29 ** H=17; J=43
j5h6h12j14j23h29 :::H=47; J=42
 **** K=5 ** H=47; J=37
 **** K=6 ** H=41; J=42
 **** K=12 ** H=35; J=42
 **** K=14 ** H=47; J=28
 **** K=23 ** H=47; J=19
 **** K=29 ** H=18; J=42
h5h6h12j14j23h29 :::H=52; J=37
 **** K=5 ** H=47; J=37
 **** K=6 ** H=46; J=37
 **** K=12 ** H=40; J=37
 **** K=14 ** H=52; J=23
 **** K=23 ** H=52; J=14
 **** K=29 ** H=23; J=37
j5j6j12h14j23h29 :::H=43; J=46
 **** K=5 ** H=43; J=41
 **** K=6 ** H=43; J=40
 **** K=12 ** H=43; J=34
 **** K=14 ** H=29; J=46
 **** K=23 ** H=43; J=23
 **** K=29 ** H=14; J=46
h5j6j12h14j23h29 :::H=48; J=41
 **** K=5 ** H=43; J=41
 **** K=6 ** H=48; J=35
 **** K=12 ** H=48; J=29
 **** K=14 ** H=34; J=41
 **** K=23 ** H=48; J=18
 **** K=29 ** H=19; J=41
j5h6j12h14j23h29 :::H=49; J=40
 **** K=5 ** H=49; J=35
 **** K=6 ** H=43; J=40
 **** K=12 ** H=49; J=28
 **** K=14 ** H=35; J=40
 **** K=23 ** H=49; J=17
 **** K=29 ** H=20; J=40 OK OK OK 
h5h6j12h14j23h29 :::H=54; J=35
 **** K=5 ** H=49; J=35
 **** K=6 ** H=48; J=35
 **** K=12 ** H=54; J=23
 **** K=14 ** H=40; J=35
 **** K=23 ** H=54; J=12
 **** K=29 ** H=25; J=35
j5j6h12h14j23h29 :::H=55; J=34
 **** K=5 ** H=55; J=29
 **** K=6 ** H=55; J=28
 **** K=12 ** H=43; J=34
 **** K=14 ** H=41; J=34
 **** K=23 ** H=55; J=11
 **** K=29 ** H=26; J=34
h5j6h12h14j23h29 :::H=60; J=29
 **** K=5 ** H=55; J=29
 **** K=6 ** H=60; J=23
 **** K=12 ** H=48; J=29
 **** K=14 ** H=46; J=29
 **** K=23 ** H=60; J=6
 **** K=29 ** H=31; J=29
j5h6h12h14j23h29 :::H=61; J=28
 **** K=5 ** H=61; J=23
 **** K=6 ** H=55; J=28
 **** K=12 ** H=49; J=28
 **** K=14 ** H=47; J=28
 **** K=23 ** H=61; J=5
 **** K=29 ** H=32; J=28
h5h6h12h14j23h29 :::H=66; J=23
 **** K=5 ** H=61; J=23
 **** K=6 ** H=60; J=23
 **** K=12 ** H=54; J=23
 **** K=14 ** H=52; J=23
 **** K=23 ** H=66; J=0
 **** K=29 ** H=37; J=23
j5j6j12j14h23h29 :::H=52; J=37
 **** K=5 ** H=52; J=32
 **** K=6 ** H=52; J=31
 **** K=12 ** H=52; J=25
 **** K=14 ** H=52; J=23
 **** K=23 ** H=29; J=37
 **** K=29 ** H=23; J=37
h5j6j12j14h23h29 :::H=57; J=32
 **** K=5 ** H=52; J=32
 **** K=6 ** H=57; J=26
 **** K=12 ** H=57; J=20
 **** K=14 ** H=57; J=18
 **** K=23 ** H=34; J=32
 **** K=29 ** H=28; J=32
j5h6j12j14h23h29 :::H=58; J=31
 **** K=5 ** H=58; J=26
 **** K=6 ** H=52; J=31
 **** K=12 ** H=58; J=19
 **** K=14 ** H=58; J=17
 **** K=23 ** H=35; J=31
 **** K=29 ** H=29; J=31
h5h6j12j14h23h29 :::H=63; J=26
 **** K=5 ** H=58; J=26
 **** K=6 ** H=57; J=26
 **** K=12 ** H=63; J=14
 **** K=14 ** H=63; J=12
 **** K=23 ** H=40; J=26
 **** K=29 ** H=34; J=26
j5j6h12j14h23h29 :::H=64; J=25
 **** K=5 ** H=64; J=20
 **** K=6 ** H=64; J=19
 **** K=12 ** H=52; J=25
 **** K=14 ** H=64; J=11
 **** K=23 ** H=41; J=25
 **** K=29 ** H=35; J=25
h5j6h12j14h23h29 :::H=69; J=20
 **** K=5 ** H=64; J=20
 **** K=6 ** H=69; J=14
 **** K=12 ** H=57; J=20
 **** K=14 ** H=69; J=6
 **** K=23 ** H=46; J=20
 **** K=29 ** H=40; J=20
j5h6h12j14h23h29 :::H=70; J=19
 **** K=5 ** H=70; J=14
 **** K=6 ** H=64; J=19
 **** K=12 ** H=58; J=19
 **** K=14 ** H=70; J=5
 **** K=23 ** H=47; J=19
 **** K=29 ** H=41; J=19
h5h6h12j14h23h29 :::H=75; J=14
 **** K=5 ** H=70; J=14
 **** K=6 ** H=69; J=14
 **** K=12 ** H=63; J=14
 **** K=14 ** H=75; J=0
 **** K=23 ** H=52; J=14
 **** K=29 ** H=46; J=14
j5j6j12h14h23h29 :::H=66; J=23
 **** K=5 ** H=66; J=18
 **** K=6 ** H=66; J=17
 **** K=12 ** H=66; J=11
 **** K=14 ** H=52; J=23
 **** K=23 ** H=43; J=23
 **** K=29 ** H=37; J=23
h5j6j12h14h23h29 :::H=71; J=18
 **** K=5 ** H=66; J=18
 **** K=6 ** H=71; J=12
 **** K=12 ** H=71; J=6
 **** K=14 ** H=57; J=18
 **** K=23 ** H=48; J=18
 **** K=29 ** H=42; J=18
j5h6j12h14h23h29 :::H=72; J=17
 **** K=5 ** H=72; J=12
 **** K=6 ** H=66; J=17
 **** K=12 ** H=72; J=5
 **** K=14 ** H=58; J=17
 **** K=23 ** H=49; J=17
 **** K=29 ** H=43; J=17
h5h6j12h14h23h29 :::H=77; J=12
 **** K=5 ** H=72; J=12
 **** K=6 ** H=71; J=12
 **** K=12 ** H=77; J=0
 **** K=14 ** H=63; J=12
 **** K=23 ** H=54; J=12
 **** K=29 ** H=48; J=12
j5j6h12h14h23h29 :::H=78; J=11
 **** K=5 ** H=78; J=6
 **** K=6 ** H=78; J=5
 **** K=12 ** H=66; J=11
 **** K=14 ** H=64; J=11
 **** K=23 ** H=55; J=11
 **** K=29 ** H=49; J=11
h5j6h12h14h23h29 :::H=83; J=6
 **** K=5 ** H=78; J=6
 **** K=6 ** H=83; J=0
 **** K=12 ** H=71; J=6
 **** K=14 ** H=69; J=6
 **** K=23 ** H=60; J=6
 **** K=29 ** H=54; J=6
j5h6h12h14h23h29 :::H=84; J=5
 **** K=5 ** H=84; J=0
 **** K=6 ** H=78; J=5
 **** K=12 ** H=72; J=5
 **** K=14 ** H=70; J=5
 **** K=23 ** H=61; J=5
 **** K=29 ** H=55; J=5
h5h6h12h14h23h29 :::H=89; J=0
 **** K=5 ** H=84; J=0
 **** K=6 ** H=83; J=0
 **** K=12 ** H=77; J=0
 **** K=14 ** H=75; J=0
 **** K=23 ** H=66; J=0
 **** K=29 ** H=60; J=0


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