SOLUTION: “I am four times as old as you were when I was the same age as you are now. I am forty years old, how old are you?”

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Question 201940: “I am four times as old as you were when I was the same age as you are now. I am forty years old, how old are you?”
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = my age now
given:
Other person'a age is 40
--------------------------------
Assume the other person is older, in
other words, I am younger than 40
I will always be (other person's age) - (difference in our ages)
The difference in the ages is always 40+-+x
40+=+4%2A%28x+-%2840+-+x%29%29
40+=+4%2A%28x+-+40+%2B+x%29
40+=+4%2A%282x+-+40%29
40+=+8x+-+160
8x+=+200
x+=+25
I am 25 years old
check answer:
when the other person was my age, I was
40+-+25+=+15
and
40+=+4%2A%28x+-%2840+-+x%29%29
40+=+4%2A%2825+-+15%29
40+=+40
OK