Question 1155193: When you were born, Claire, I was 24 years old. Today I'm twice the age you were when I was the age you are. What's my age?
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! When you were born, Claire, I was 24 years old.
m = my present age
then
(m-24) = Claire's age
Today I'm twice the age you were when I was the age you are.
2(m-24) = m
2m - 48 = m
2m - m = 48
m = 48 is my age
:
:
Clair is 48-24 = 24, 24 yrs ago m was 24
Answer by ikleyn(52790)  (Show Source):
You can put this solution on YOUR website! .
When you were born, Claire, I was 24 years old. Today I'm twice the age you were when I was the age you are. What's my age?
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Let m = my age (the age of the person, who tells the story).
Then the Clair age is (m-24).
We should accurately interpret this phrase
"Today I'm twice the age you were when I was the age you are."
It means that we should start our equation in this way
m = 2 * something.
This "something" is "the age you were when I was the age you are."
If you think a minute, you will get the correct idea that this "something" = (m-24)-24 = m - 48.
Therefore, the equation in whole has the form
m = 2*(m-48).
Its solution is m = 2*48 = 96.
ANSWER. m= 96. In other words, "my" age is 96 years.
. . . . . . . .
You may check it ON YOUR OWN that my answer is correct.
You also may check, on your own, that the answer given by @ankor@dixie-net.com is wrong.
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This problem relates to the class of "twisted" age problems.
If you want to see other similar solved "twisted" age problems, look into the lesson
- Really intricate age word problems
in this site.
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