SOLUTION: My daughter asked me how old I am. I said in 20 years time I will be twice the age I was 12 years ago. How old am I?

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Question 186033: My daughter asked me how old I am. I said in 20 years time I will be twice the age I was 12 years ago. How old am I?
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Age now: x

Age 20 years from now: x + 20

Age 12 years ago: x - 12

Twice age 12 years ago: 2(x - 12)

Solve:



John

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
My daughter asked me how old I am. I said in 20 years time I will be twice the age I was 12 years ago. How old am I?
My daughter asked me how old I am.
I said...

I am N years old now and

...in 20 years time I will be... 

N + 20, which is

...twice the age I was 12 years ago...

which was N - 12, and twice that is 2(N - 12)

Therefore N + 20 must equal to 2(N - 12).

So we have the equation:

N + 20 = 2(N - 12)

Can you solve that?

Answer:  The mother is 44 years old.

Checking: 12 years ago she was 32 and in 20 year's
time she will be 64, which is twice 32.  So it checks.

Edwin