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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

Best Answer 

 #1
avatar+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
avatar+94558 
+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
 #2
avatar+95360 
0

Thanks Chris

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

 Jun 11, 2015

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