SOLUTION: Kathy is six years older than her cat. Next year she will be twice as old as her cat will be. How old is Kathy now?

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Question 1047653: Kathy is six years older than her cat. Next year she will be twice as old as her cat will be. How old is Kathy now?
Found 3 solutions by addingup, josmiceli, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
now:
K = 6C
next year:
K+1 = 2(C+1)
K+1 = 2C+2
Substitute for K:
6C+1 = 2C+2
4C = 1
C = 1/4 which equals 3 months
Kathy is 6*3 18 months old
------------------------
Check: Next year (in months, 1 year = 12 months)
K+12 = 2(C+12)
18+12 = 2(3+12)
30 = 6+24 = 30 Correct, next year K will be 30/12 = 2 1/2 years old and the cat will be 3+12 = 15 months old, 15/12 = 1 year and 3 months old.
Let me know if you have doubts or questions.
:
John

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Kathy's age now
Let +b+ = her cat's age now
----------------------------
(1) +a+=+b+%2B+6+
(2) +a+%2B+1+=+2%2A%28+b+%2B+1+%29+
--------------------------
(2) +a+%2B+1+=+2b+%2B+2+
Substitute (1) into (2)
(2) +b+%2B+6+%2B+1+=+2b+%2B+2+
(2) +b+%2B+7+=+2b+%2B+2+
(2) +b+=+5+
and
(1) +a+=+b+%2B+6+
(1) +a+=+5+%2B+6+
(1) +a+=+11+
-------------------
Kathy is 11 now
-------------------
check:
(2) +a+%2B+1+=+2%2A%28+b+%2B+1+%29+
(2) +11+%2B+1+=+2%2A%28+5+%2B+1+%29+
(2) +12+=+2%2A6+
(2) +12+=+12+
OK

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Kathy is six years older than her cat. Next year she will be twice as old as her cat will be. How old is Kathy now?
Kathy is: highlight_green%28matrix%281%2C2%2C+11%2C+years-old%29%29
How on earth could Kathy be 18 months-old when she is 6 years older than the cat. What does that make the cat: 18 months, less 6 years?
Isn't that matrix%281%2C2%2C+-+4%261%2F2%2C+years%29? How can something have an age of matrix%281%2C2%2C+-+4%261%2F2%2C+years%29?
Why do these people respond and give these stunningly RIDICULOUS answers.