If 123123A4 is divisible by 11,

Question:

If 123123A4 is divisible by 11, find the value of A.

Solution:

Given, 12312344 is divisible by 11, then we have (1 + 3 + 2 + 4) – (2 + 1 + 3 + 4) is a multiple of 11.

i.e. (6+ 4)-10 =0,11,22,,..

=> A-4 = 0,11,22,…

=> A-4 = 0 [A is a digit of the given number]

=> A = 4

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