SOLUTION: Two years ago John was three times as old as Frank. Five years from now John will be twice as old as Frank. What is the sum of their ages right now?

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Question 370659: Two years ago John was three times as old as Frank. Five years from now John will be twice as old as Frank. What is the sum of their ages right now?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Two years ago John was three times as old as Frank

Let x represent Franks's age and 3x John's age 'two years ago. 

Write as we Read***

3x + 7 = 2(x+7)

Solving for x

3x + 7 = 2x + 14

x = 7, Franks age two year ago. John was then 21

Right now, the sum of their ages: 9 + 23 = 32

checking our answer

23+5 = 2*14 = 28