SOLUTION: I am 5 years older than my pet cat who's now 10. When will I be twice as old as the cat? I have to solve using one variable. It's easy to see the answer would be 5 years ago, wh

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Question 932144: I am 5 years older than my pet cat who's now 10. When will I be twice as old as the cat?
I have to solve using one variable. It's easy to see the answer would be 5 years ago, when I was 10 and my cat was 5; but I have to solve using algebra.

Found 2 solutions by ewatrrr, Stitch:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Now: Cat 10, You 15.
x the number of years ago You were twice as old as the cat
15 - x = 2(10-x)
15 - x = 20 - 2x
x = 5

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
10+%2B+5+%2B+X+=+2%2A%2810%2BX%29
Combine like terms
15+%2B+X+=+20+%2B+2X
Subtract 20 from both sides
-5+%2B+X+=+2X
Subtract X from both sides
highlight%28-5+=+X%29
5 years ago