SOLUTION: I am 40 years old, and that means I am twice as old now as Kat was when I was as old as Kat is now. How old is kat.

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Question 749934: I am 40 years old, and that means I am twice as old now as Kat was when I was as old as Kat is now. How old is kat.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = Kat's age now in years
The difference in our ages is ( and always was )
+40+-+k+
When I was as old as Kat is now, I was +k+ years old
Kat is younger by the difference in our ages, so Kat was
+k+-+%28+40+-+k+%29+=+2k+-+40+
I am twice as old as that now, so I am
+2%2A%28+2k+-+40+%29+
I am +40+ now, so
+2%2A%28+2k+-+40+%29+=+40+
+4k+-+80+=+40+
+4k+=+120+
+k+=+30+
Kat is 30
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check answer:
When I was as old as Kat is now, I was +30+
That was +10+ years ago, so Kat was +20+
Am I twice that age? Yes, I am +40+
OK