Question

find the least number which should added to 18517 so that the sum is exactly divisible by 125

Answer 1

483 should be added to the 18517

Answer 2

Answer:

The required number is 108

Step-by-step explanation:

Using Remainder Theorem : a = b × q + r ;

where a = dividend, b = divisor, q = quotient, r = remainder

So, 18517 = 125 × 148 + 17 .........( 1 )

But, we need to add a number in order to make 18517 divisible by 125

So, rewriting equation ( 1 ) We get,

18517 = 125 × 149 - 108

So, Remainder = -108 ⇒ If we add 108 to 18517 it is completely divisible by 125

Hence, least number which should be added to 18517 to make it divisible by 125 is 108