# Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460?

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by Taruunsantu

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by Taruunsantu

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267 is to be added
If correct brainliest
I will tell the method if you want

5678 = 460 ×12 + 158

Here 158 is the remainder. we need the remainder to be 35 by adding a number.

Let the number to be added be x.

Since 158>35, the quotient we will get by dividing (5678+x) by 460 should be greater than 12. It may be 13, 14, 15 etc. but i am taking the lowest one here i.e.13.

So (5678 +x) = 460 × 13 + 35 (here 35 is remainder)

⇒ 5678 + x -35 = 460 × 13

⇒5643 + x = 460 × 13

⇒x = 460 × 13 - 5643

⇒

If you take 14 to be the quotient, you will get x= 797

If you take 15 to be the quotient, you will get x= 1257

If you take 16 to be the quotient, you will get x= 1717 etc....

The x will increase by 460 as you increase the quotient by 1.