Question

smallest number to be added to 1000 so that 45 divides the sum exactly

Answer 1

by dividing 1000 by 45, we get 22 and remainder 10.
For complete division we need 35 more ,so that the answer is 23 .
990 / 45 +( 10/45 + 35/45 )
= 22 + 1
= 23 .

Answer 2

Answer:

The smallest number is 35

To find:

The smallest number which when added to 1000 divides it exactly by 45.

Solution:

Given number is 1000

We have to divide the number 1000 by 45 to determine the remainder left of the division.

Here, The quotient is 22 and the remainder here is 10.

So, we have 10 already,

In order to get a perfect division,

The smallest number which when added to 1000 divides it exactly by 45 = 45-10=35

If we add the number 35 to 1000 will get 1035 and this number is exactly divisible by 45.

$\frac {1035}{45} =23$

Therefore, the smallest number to be added to 1000 is 35