SOLUTION: If 3 times Jane's age, in years, is equal to 8 times beth's age, in years, and the difference between their ages is 15 years, how old are Jane and Beth?

Question 207783: If 3 times Jane's age, in years, is equal to 8 times beth's age, in years, and the difference between their ages is 15 years, how old are Jane and Beth?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
If 3 times Jane's age, in years, is equal to 8 times beth's age, in years, and the difference between their ages is 15 years, how old are Jane and Beth?
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let J = jane's age
let B = beth's age.
3*J = 8*B
J - B = 15
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if J - B = 15, then J = B+15
your formula of 3*J = 8*B becomes 3*(B+15) = 8*B after you substitute B+15 for J.
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Solving for B gets you B = 9
This makes J = 9 + 15 = 24
3 * 24 = 72
8 * 9 = 72
your answer is:
Jane is 24 years old and Beth is 9 years old.
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