SOLUTION: A boy is 10 years old and his mother is 37 years old.in how many years time will the mother be twice as old as her son

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A boy is 10 years old and his mother is 37 years old.in how many years time will the mother be twice as old as her son       Log On


   



Question 1126777: A boy is 10 years old and his mother is 37 years old.in how many years time will the mother be twice as old as her son

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
mother, 37
son, 10
x more years mother is twice son's age

37%2Bx=2%2810%2Bx%29
37-x=20-2x
x=37-20
highlight%28x=17%29

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The difference in their ages is 27 years; it always will be.

So the mother will be twice as old as the son when the son is 27 and the mother is 54.

Since they are now 10 and 37, that will be 17 years from now.