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?

Question 840205: 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 Alan3354, josh_jordan:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The difference is (and will remain) 27 years.
----
When they're 27 & 54

Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
To solve, let's change the word problem into an equation.

The problem says that the boy is 10 years old and the mother is 37 years old. Since we do not know the number of years in which the mother will be twice as old as the son, we will express this number of years in terms of x.

So, in a certain number of years added to the mothers age, she will be twice as old as her son when his age is added to that same number of years. In other words:

37 + x = 2(10 + x)

Now that we have our formula, all we need to do now is solve for x. First, let's distribute the 2 to everything inside the parenthesis. This gives us:

37 + x = 20 + 2x

Next, subtract 20 from both sides, giving us:

17 + x = 2x

Finally, subtract x from both sides:

17 = x

Therefore, in 17 years, the mother will be twice as old as her son.
RELATED QUESTIONS
a boy is 10 years old and his mother is 37 years old. In how many years time will the... (answered by Alan3354,Edwin McCravy)
A boy Is 10 years old and his mother is 37 years old. In how many years time will the... (answered by ikleyn,greenestamps)
A boy is 10 years old and his mother is 37 years old.in how many years time will the... (answered by josgarithmetic,greenestamps)
a boy 10 years old and his mother is 37 years old in how many years did his mother will... (answered by Alan3354,macston)
A mother is 25 years older than her son. In 10 years she will be twice as old as her son. (answered by TimothyLamb)
A mother is 40 years old and her son is 8 years old In how many years will the mother be... (answered by jorel555)
A mother is 23 years older than her son. In 7 years she will be twice as old as her son.... (answered by stanbon)
a boy is 10 years old his father is 37 years old.in haw many years time will the father... (answered by ikleyn)
a boy is 10 years old his is 37 years old.in haw many years time will the father be twice (answered by ikleyn)