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smc

number theory intermediate

Problem

The three-digit number is added to the number to give the three-digit number . If is divisible by 9, then equals
(A)
(B)
(C)
(D)
Solution
If is divisible by , this must mean that is a multiple of . So, Because and is in between 0 and 9, The question states that so which is answer choice .
Final answer
C