Cross-country race

In the charity cross-country race of three-member relays, each team had to run a total of 36 km. Adam, Boris and Ctirad gradually ran for team A. Boris, and Ctirad ran a distance three times longer than Adam. Ctirad ran a distance of 5 km longer than Boris.

How many km did Adam, Boris, Ctirad run?

Correct result:

a =  9
b =  11
c =  16

Solution:


a+b+c=36
b+c = 3a
c = 5 + b

a+b+c=36
b+c = 3•a
c = 5 + b

a+b+c = 36
3a-b-c = 0
b-c = -5

a = 9
b = 11
c = 16

Our linear equations calculator calculates it.



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