Question

find the least number that should be subtracted from 1000 so the 35 divides the difference exactly​

Answer 1

Answer:

Step-by-step explanation:

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

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

Remainder = 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.

Answer 2

Easy Method:

Divide 1000 by 35 = 28.57

For finding the number which is exactly divisible by 35 we take the part of quotient without decimals (28), and multiply it by 35

28 × 35 = 980

Therefore,

20 needs to be subtracted from 1000, so that it is exactly divisible by 35.