Not an easy one

Number Theory Level 5

For positive integer n n , let S ( n ) S(n) denote the sum of the digits of n. Find the smallest positive integer satisfying S ( n ) = S ( n + 864 ) = 20 S(n) = S(n+864) = 20 .


The answer is 695.

Suryadeep Bandyopadhyay by Suryadeep Bandyopadhyay , 22, India

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1 solution

Pham Khanh
Apr 17, 2016

It is actually A I M E 2015 T e s t I Q u e s t i o n 8 AIME~2015~~~Test~I~~~Question~8 . Go to this link for a detail solution

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Thanks never knew it.

Suryadeep Bandyopadhyay - 5 years, 1 month ago

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