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?
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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.
