Question

When a certain number is divided by 4, the remainder is 3. If twice that number is divided by 4, what is the remainder?

Answer 1

the number is 4n+3 where n is a whole number

if we double it, then we get 8n+6
if we divide it by 4 we get
(8n+6)/4=(8n/4)+(6/4)=2n+1+2/4
the remainder is 2 because it didn't divide into the 4