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?

Guest Jun 10, 2015

#1**+10 **

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.....

CPhill
Jun 10, 2015

#1**+10 **

Best Answer

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.....

CPhill
Jun 10, 2015