SOLUTION: The ratio of Gina's present age TO SHERRY'S is 5:8. FIVE years later, the ratio of Gina's age to Sherry's age will be 2:3. How old will Gina be in 12 years' time?

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Question 1011180: The ratio of Gina's present age TO SHERRY'S is 5:8. FIVE years later, the ratio of Gina's age to Sherry's age will be 2:3. How old will Gina be in 12 years' time?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
g and s for their ages NOW.

Transform the description into equations.
system%28g%2Fs=5%2F8%2C%28g%2B5%29%2F%28s%2B5%29=2%2F3%29

Simplify and solve for their current ages first.
system%288g=5s%2C3%28g%2B5%29=2%28s%2B5%29%29

3g%2B15=2s%2B10
3g=2s-5
g=%282s-5%29%2F3
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Other equation with substitution,
8%28%282s-5%29%2F3%29=5s
8%282s-5%29=15s
16s-40=15s
highlight%28s=40%29

Find Gina's age.
g=5s%2F8
g=5%2A40%2F8
highlight%28g=25%29

Gina will be 25%2B12=37%2AyearsOfAge in twelve years more time.