Question

What is the least number that must be subtracted from 1160 so that the sum of 1160 and the
resulting number is completely divisible by 19?

Answer 1

Let the least number be n which need to be subtracted.

So our number is 1160 + 1160 - n = 2320-n

So 2320-n should be divisible by 19.

The remainder obtained on dividing 2320 by 19 is 2.

On subtracting 2320–2 you would get a number divisible by 19.

Therefore n is 2.