Janel is 8 years old, and is currently 4/5 as old as Stephanie. In how many years will Janel be 12/13 of the age of Stephanie?
Janel is 8 and Stephanie is (5/4) of this = 10
And we want to solve this......
(13/12)(8 + x) = (10 + x) where x is the number of years......simplify
(26/3) + (13/12)x = 10 + x multiply through by 12
104 + 13x = 120 + 12x
x = 16 years
Check ....in 16 years, Janel will be 24 and Stephanie will be 26......so .....Janel will be 12/13 as old as Stephanie.....
Janel is 8 and Stephanie is (5/4) of this = 10
And we want to solve this......
(13/12)(8 + x) = (10 + x) where x is the number of years......simplify
(26/3) + (13/12)x = 10 + x multiply through by 12
104 + 13x = 120 + 12x
x = 16 years
Check ....in 16 years, Janel will be 24 and Stephanie will be 26......so .....Janel will be 12/13 as old as Stephanie.....