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Suppose the cat's age is x.

Then Timothy's age is 3x + 4.

The sum of their ages is 44 ie x + (3x+4) = 44 or 4x + 4 = 44 or 4x = 40 so that x = 10 ie the cat is 10 years old.

Then Timothy's age = 3x + 4 = 3*10 + 4 = 34.

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