Question

Find the least number that should be subtracted from 1000 so that 35 divides
the difference exactly.
Ann​

Answer 1

Answer:

20 is the least number that should be subtracted from 1000 so that 35 divides the difference exactly.

Step-by-step explanation:

We have to find the least number that should be subtracted from 1000 so that 35 divides the difference exactly.

For this, we shall first divide 1000 by 35.

On dividing 1000 by 35, we get the Remainder as 20.

So, 20 is the least number that should be subtracted from 1000 to make it exactly divisible by 35.

Verification:

We can verify this too by subtracting 20 from 1000. We get 980.

And on dividing 980 by 35, we get remainder 0, which means it is exactly divisible by 35.

Hence, Verified.

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