Question

1.)Which least number should be subtracted from 1000 so that the difference is exactly divisible by 35
2.)Which least number should be added to 1000 so that 53 divides the sum exactly
(Is there any method to find it)
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Answer 1

Answer:

1) r=remainder. 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.

2) when we divide 1000 by 53 we get quotient 18 and remainder is 46. it means number is 7 less than the number so that number is completely divisible . so after adding 7 in 1000 the number becomes 1007 and it is completely divisible by 53.

Step-by-step explanation:

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Answer 2

Answer:

1)20

You have to divide 1000 by 35, you will get 28.5 but since we have find a number exactly divisible by 35 and less than 1000, to get it we will multiple 35 and 28 giving as the number as 980, so the difference would be 20

2)7

You again would have to divide 1000 by 53, now u will get the quotient as 18.8 .Since we have to find a number exactly divisible by 53 and greater than 1000, to get it we will multiply 53 and 19 giving us as 1007, so the number to be added would be 7