SOLUTION: Ben is eight years older than Sarah. 10 Year’s ago, Ben is twice as old as Sarah. Currently, how old is Ben and Sarah?

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Question 1094745: Ben is eight years older than Sarah. 10 Year’s ago, Ben is twice as old as Sarah. Currently, how old is Ben and Sarah?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
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Ben is eight years older than Sarah.
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Ages s+8 and s for Ben and Sarah



10 Year’s ago, Ben is WAS twice as old as Sarah. Currently, how old is Ben and Sarah?
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%28s%2B8%29-10=2%28s-10%29
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s-2=2s-20
-2%2B20=s
s=18----Sarah now
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s%2B8=26---Ben now

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

If the difference in their ages now is 8, then the difference in their ages 10 years ago was also 8 -- the difference in the ages doesn't change.

So if 10 years ago Ben was twice as old as Sarah, and the difference in their ages was 8, then their ages 10 years ago were 16 and 8.

So now, 10 years later, their ages are 26 and 18.