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.Com
Question 947829: 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, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
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?
--------------
The difference will always be 27.
--> when they're 27 & 54.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
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?
Two ways to do it.  With and without algebra.

Without algebra.

She will be twice as old as he is when his age is the difference between their
ages, which is 37-10 or 27.  He will be 27 in 27-10 or 17 more years.

Answer: 17 years.  Checking: He'll be 27 and she'll be 54.

----------------------------

With algebra:

In x years he will be 10+x
In x years his mom will be 37+x

His mom will then equal twice his age.

37+x will equal 2 times 10+x.

37+x = 2(10+x)

37+x = 20 + 2x
  17 = x

Answer: 17 years. Checking: He'll be 27 and she'll be 54.

Edwin
RELATED QUESTIONS

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 Alan3354,josh_jordan)
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)