SOLUTION: Joe is 22 years old and Ruth is 10 years old. In how many years will joe be twice the age of Ruth

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Question 1117392: Joe is 22 years old and Ruth is 10 years old. In how many years will joe be twice the age of Ruth
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
22%2Bx=2%2810%2Bx%29
-
x%2B22=2x%2B20
2=x


highlight%28x=2%29---------in two years

Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
Joe is 12 years older than Ruth.  so Joe will be twice Ruth's age when Joe will be 24 years old and Ruth will be 12 years old. 


It will happen in two years.


It is the mental solution.


The algebra solution is as follows. 

Let x is the number of years under the question.  Then 


22 + x = 2*(10+x)

22 + x = 20 + 2x

22 - 20  = 2x - x  ====>  x = 2,  and you have the same answer.

Solved.