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Let n be a positive integer. If  a = 414n + 12 , what is the remainder when a is divided by 9?

 Feb 7, 2021
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414 is divisible by 9

=> 414n is divisible by 9

=> 414n + 9 is divisible by 9

 

414n + 12 = (414n + 9) + 3

 

414n + 12 is 3 more than a multiple of 9. The required remainder is 3.

 Feb 8, 2021

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