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?

Algebra ->  Functions -> 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?      Log On


   

Question 186021: 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 jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

*Remember:
Jane=x & Beth=y
1st condition:
3x=8y
2nd condition:
x-y=15---->x=15%2By, EQN 1 & subst. in Condtn 1:
.
3%2815%2By%29=8y
45%2B3y=8y
8y-3y=45---->5y=45--->cross%285%29y%2Fcross%285%29=cross%2845%299%2Fcross%285%29
highlight%28y=9yrs%29, Beth's Age
Via EQN 1:
x=15%2B9=highlight%2824yrs%29, Jane's Age
Check via Condtn 2:
3%2A24=8%2A9
72=72
See graph for reference:

Thank you,
Jojo