Together 19033

During the football season, Adam scored 23 goals more than Braňo, and Braňo scored 16 goals less than Karel. Edo scored 6 goals more than Dušan. Karel gave 5 more than Edo. Braňo and Edo scored 17 goals together. How many goals did each boy score, and how many goals did the boys score together?

Correct answer:

A =  26
B =  3
D =  8
K =  19
O =  14
S =  70

Step-by-step explanation:


A=23+B
B = K-16
O = 6+D
K=5+O
B+O=17

A-B = 23
B-K = -16
D-O = -6
K-O = 5
B+O = 17

Row 5 - Row 2 → Row 5
A-B = 23
B-K = -16
D-O = -6
K-O = 5
K+O = 33

Row 5 - Row 4 → Row 5
A-B = 23
B-K = -16
D-O = -6
K-O = 5
2O = 28


O = 28/2 = 14
K = 5+O = 5+14 = 19
D = -6+O = -6+14 = 8
B = -16+K = -16+19 = 3
A = 23+B = 23+3 = 26

A = 26
B = 3
D = 8
K = 19
O = 14

Our linear equations calculator calculates it.
S=A+B+O+K+D=26+3+14+19+8=70

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