Question 1191555:
In three years' time, a father will be three times as old as his son. If the ratio of their ages is 2:7, find their present age.
Answer by ikleyn(52793)   (Show Source):
You can put this solution on YOUR website! .
In three years' time, a father will be three times as old as his son.
If the ratio of their ages is 2:7, find their present age.
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Their current ages are 2x (the son) and 7x (the father), where x is the common measure,
now unknown.
To find this unknown, we have this equation ("three years later")
7x + 3 = 3*(2x+3).
Simplify and find x
7x + 3 = 6x + 9
7x - 6x = 9 - 3
x = 6
ANSWER. Their current ages are 2*6 = 12 years (the son) and 7*6 = 42 years (the father).
Solved.
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