Question

A number when divided by 221 leaves a remainder 43 .What will be obtained by dividing same number with 17

Answer 1

Answer:

9

Hope this helps!

Step-by-step explanation:

Let n be the number.

n divided by 221 leaves remainder 43

<=> n = 221 × k + 43    ( for some k )

<=> n = 17 × 13 × k + 43

<=> n = 17 × 13 × k + 34 + 9

<=> n = 17 × ( 13 × k + 2 )  +  9

<=> n divided by 17 leaves remainder 9

Answer 2

Let consider the number = x

∴ the number is in the format of 221x+43.( where x is the quotient .)

Now dividing by 17 gives (221x/17+43/17)

what ever the x value 17 completely divides (17×13 )=221

so we need to find the remainder only 43/17 = 2× 17 +9

Hence 9 will be the remainder here .

Ans :-9 will be the remainder.

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