Football season

Throughout the football season gave Adam the 23 goals more than Brano and 16 goals less than Karol. Edo gave the 6 goals more Dušan. Karol gave 5 more than Edo. Brano and Edo gave together 17 goals. How many goals gave each boy and how many goals gave the boys together?

Result

a =  26
b =  3
d =  8
f =  14
k =  19
s =  70

Solution:

a = 23 + b
b = k-16
f = 6+d
k = 5+f
b+f=17
s = a+b+d+f+k

a-b = 23
b-k = -16
d-f = -6
f-k = -5
b+f = 17
a+b+d+f+k-s = 0

a = 26
b = 3
d = 8
f = 14
k = 19
s = 70

Calculated by our linear equations calculator.

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