Question

a number when divided by 221 leaves 18 as remainder.if the same number is divided by 13 the remainder is___

Answer 1

Answer : Remainder = 5

Explanation -

Given :

Divisor = 221

Remainder = 18.

We know that -

Dividend = Divisor x Quotient + Remainder

Let dividend = x

x = 221 x Q + 18.

x = 221Q + 18

x = (13 x 17 x Q) + (13 x 1) + 5

x = 13(17Q + 1) + 5.

So, Remainder = 5

Hence :

If the same number is divided by 13, the remainder is 5.

Answer 2

Answer:

5

Step-by-step explanation:

Given: a number when divided by 221 leaves 18 as remainder.if the same number is divided by 13 the remainder is :

We know that each and every number is a multiple of itself. So by taking 221, it is a multiple of itself.

So by adding 221 + 18 we get 239.

When 239 is divided by 221 we get 1 as quotient and 18 as remainder.

      239 / 221 = 1 Rem = 18

They have given when the same number is divided by 13. So when 239 is divided by 13 we get 18 as quotient and 5 as remainder.

239 / 13 = 18 and Remainder is 5

hence remainder is 5.