The given statement is least number should be subtracted from 1000, so that the difference is exactly divisible by 35.
To find :
We have to find the least number.
According to Euclid's division algorithm,
So let a=1000, b=35,
So we get,
$1000= 35\times 28+20$
Subtracting 20 from both sides,
Thus, $980=35\times 28$
Therefore, as seen above, 980 is perfectly divisible by 35.
And so, 20 is the smallest number to be subtracted from 1000 so that the difference is exactly divisible by 35.
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