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If a and b are positive integers and their product is 3 times their sum, what is the value of 1/a + 1/b?

Given that ab = 3(a + b).
From this, ab/3 = a + b.
Dividing through by ab yields 1/a + 1/b = 1/3.

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Therefore, the value of 1/a + 1/b is 1/3.

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