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Factors of Natural Numbers

If 4 a 3 b is...

Question

If is divisible by 11, find all possible values of a + b.

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Solution

is divisible by 11.

⇒ a + b − (4 + 3) = a + b − 7 is divisible by 11.

⇒ a + b − 7 = 0 or a + b − 7 = 11

Thus, all possible values of a + b are 7 and 18.

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