SOLUTION: Sara is 37 years older than Tom. In 10 years, Sara will be double the age of Tom. How old is Tom?

Question 1028287: Sara is 37 years older than Tom. In 10 years, Sara will be double the age of Tom. How old is Tom?
Found 2 solutions by Alan3354, fractalier:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Sara is 37 years older than Tom. In 10 years, Sara will be double the age of Tom. How old is Tom?
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The difference is always 37.
2x --> 37 & 74 in 10 years (if they're still living).
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call their ages now, s and t. Then we write
s = t + 37
In ten years,
s + 10 = 2(t + 10)
Now substitute the first equation into the second and get
t+37 + 10 = 2(t + 10)
t + 47 = 2t + 20
Now subtract t and subtract 20 and get
47 = t + 20
t = 27 years old (Tom)

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