SOLUTION: Seven years ago, Beth’s son was one-third her age at that time. Seven years from now, he will be one-half her age at that time. How old is Beth’s son?

Question 1174419: Seven years ago, Beth’s son was one-third her age at that time. Seven years from now, he will be one-half her age at that time. How old is Beth’s son?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
Beth's son's age 7 years ago = x
Beth's age 7 years ago = 3x

Now, compute their ages 7 years from now (which is 14 years from their ages 7 years ago):

2(x + 14) = 3x + 14

2x + 28 = 3x + 14

-x = -14

x = 14

Beth's son's age 7 years ago = x = 14

We are looking for Beth's son's age NOW. He was 14-years-old seven years ago, so that means he is presently 21-years-old.
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