Question

If the remainder is 75 when a number is divided by 85 , what is the remainder when the same number is divided by 17

Answer 1

Answer:

7

Step-by-step explanation:

Suppose the number is X.

If remainder of (X/85) is 75

Means (X-75) is multiplier of 85.

And as 85 is also multiplier if 17.

We can divide X-75 with 17 without any remainder. ....(1)

Remainder of X/17= remainder of (X-75+75)/17

=remainder of {(X-75)/17+75/17}

= remainder (X-75)/17+remainder (75/17)

As per statement (1)

=0+ remainder (75/17)

=7