SOLUTION: Ann is half the age of Henry. In seven years she will be three-fifths his age. Seven years ago she was one -third his age. How old are they?

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Question 707057: Ann is half the age of Henry. In seven years she will be three-fifths his age. Seven years ago she was one -third his age. How old are they?
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
The description literally gives this, and expecting implied past and future ages:
Now:
Seven years in future:
Seven years in the past:

Three equations and two unknown variables. Chance for conflict.?

The futures question gives us ,[multiplied members by 5 first].
The past question gives us , [multiplied members by 3 first].
Multiply this "past" equation by -3 and add to the future equation, giving
4a=56
. So Ann is 14 now.

Without looking too deeply more, Henry would be twice that now, being 28.

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