SOLUTION: A man's age is three times the sum of the age of his two sons, one of whom is twice as old as the other; in 12 years the sum of the son's ages will be three-fourths of their fathe

Question 1041077: A man's age is three times the sum of the age of his two sons, one of whom is twice as old as the other; in 12 years the sum of the son's ages will be three-fourths of their father's age. Find their respective ages.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Father's Age              y
A Son's Age               b
The Other Son's Age       s

Follow the written description closely and translate into equations.

Solve the system. FORMING the system of equations is the biggest part of the solution to the given problem description.

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Simpler System,
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Simple substitution for y, OR simply equating expressions for y,

-----------this suggests that I made a mistake, because we usually expect Natural numbers for this kinds of age description exercises. You can keep working with it, or recheck my steps.
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