Question

A number when divided by 72, leaves a remainder 64. Find the remainder when the same number is divided by 18
pls tell the answer with explanation. I will follow you and mark you the brainliest answer ​

Answer 1

Answer:

Let the number be n.

Given when divided by 18 gives a remainder 15.

⇒n=18x+15

When n is divided by 72.

Let the remainder be m

⇒ remainder of

72

n

=

72

18x+15

=18

4

x

+15

Remainder of a number when divided by 4 can be 0,1,2,3 .

Thus the numbers are 18(0)+15,18(1)+15,18(2)+15,18(3)+15 i.e 15,33,51,69 .

Thus all the numbers in options could be remainders.