SOLUTION: if 3 times janes age in years is equal to 8 times beths age in years and the difference between their ages is 15 years how old are jane and beth?

Question 338555: if 3 times janes age in years is equal to 8 times beths age in years and the difference between their ages is 15 years how old are jane and beth?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let j = Jane's present age
let b = Beth's present age
:
Write an equation for each statement:
:
" 3 times Jane's age in years is equal to 8 times Beth's age in years"
3j = 8b
:
" the difference between their ages is 15 years"
j - b = 15
j = (b+15)
:
Replace j with (b+15) in the 1st equation
3(b + 15) = 8b
3b + 45 = 8b
45 = 8b - 3b
45 = 5b
b =
b = 9
:
You can find j using the equation: j = (b+15)
:
:
Check your solutions in the 1st statement

how old are jane and beth?
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