Problem 19 · 2010 Math Kangaroo
Stretch
Arithmetic & Operations
ages
Two years ago the cats Tim and Tom were 15 years old together. Now Tom is 13 years old. In how many years will Tim be 9 years old?
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Answer: C — 3
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Hint 1 of 2
Two years pass for both cats, so their combined age grows by 4.
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Hint 2 of 2
Find Tim's age now, then count up to 9.
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Approach: track the ages forward
- Two years ago Tim + Tom = 15, so now Tim + Tom = 15 + 4 = 19.
- Tom is now 13, so Tim is 19 − 13 = 6.
- Tim reaches 9 in 9 − 6 = 3 years.
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