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

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Question 964285: a boy 10 years old and his mother is 37 years old in how many years did his mother will be twice as old as her son.
Found 2 solutions by Alan3354, macston:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The age difference is 27 years.
--> when they're 27 & 54

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
x=how many years
37yrs+x=2(10yrs+x)
37yrs+x=20yrs+2x Subtract 20 yrs from each side.
17yrs+x=2x Subtract x from each side.
17 yrs=x
ANSWER: The mother will be twice as old as the son in 17 yrs.
CHECK:
37yrs+17yrs=2(10yrs+17yrs)
54yrs=2(27yrs)
54yrs=54yrs

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