Two numbers

One number is by 79 larger than the other. If we divide the larger number by the smaller one, we get the ratio 5 and the remainder 11. Determine both numbers.

Correct answer:

a1 =  96
b1 =  17
a2 =  113
b2 =  34
a3 =  147
b3 =  68

Step-by-step explanation:

a=79+b a/b=5x+11  a=79+b a=5bx+11b  a1=96 b1=17  x1=a1/b1=96/17=5 z1=a1x1 b1=965 17=11  a2=113 b2=34  x2=a2/b2=113/34=3 z2=a2x2 b2=1133 34=11  a3=147 b3=68  x3=a3/b3=147/68=2 z3=a3x3 b3=1472 68=11

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