SOLUTION: A boy was asked how old he was and he said ' i don't know my age but iam half my mother's age . and my mother is 5 years younger than my father. our ages put together it adds to 10

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Question 1066219: A boy was asked how old he was and he said ' i don't know my age but iam half my mother's age . and my mother is 5 years younger than my father. our ages put together it adds to 100." how old is the boy
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
b, m, f
Boy, mother, father

system%28b=m%2F2%2Cm=f-5%2Cb%2Bm%2Bf=100%29

Substitute into the "100" equation all in terms of b.
b%2B2b%2B%28m%2B5%29=100
b%2B2b%2B%282b%2B5%29=100
5b%2B5=100
b%2B1=20
highlight%28b=19%29