Question

A number when divided by 765 leaves a remainder 42. What will be the remainder if the number is divided by 17?

Answer 1

the x is 32130 and second remainder is 1890

Answer 2

Answer:

8

Step-by-step explanation:

We are given that A number when divided by 765 leaves a remainder 42.

So, Divisor = 765

Remainder = 42

Let the divisor be x

Let the quotient be n

Since $Dividend = (Divisor \times Quotient)+Remainder$  -- 1

$x = (765\times n)+42$

Now 42 can be written as 34+8

$x = 765n+34+8$

Now take 17 common from 765 n and 34

$x = 17(45n+2)+8$

Now comparing with 1 remainder is 8 when the number is divided by 17.