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# 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?

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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?

Jun 10, 2015

#1
+94558
+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.....

Jun 10, 2015

#1
+94558
+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
#2
+95360
0

Thanks Chris

This is a great question for middle and upper high school students to attempt.

Jun 11, 2015