Question

a number when divided by 342 gives a remainder 47 when the same number is divided by 19 what would be the remainder​

Answer 1

Answer:

let the number be x.

According to the question, when this number is divided by 342 it leaves a remainder 47.

ie,

x = 342k + 47 ( using division algorithm) .....(1)

To find the remainder when the number X is divided by 19.

x/19 = ?

Using .....(1)

x = 342K + 47

» x = 19*18K + 38+ 9

» x = 19(18k +2) + 9

» x = 19m +9 , where m is some integer.

Therefore the remainder will be 9.