Question Number 102480 by bemath last updated on 09/Jul/20

n positive integer. when  dividen by 7 give remainder 4  and when divided by 4 give  remainder 2. find the value  of n

Answered by nimnim last updated on 09/Jul/20

n=7x+4   and n=4y+2  ∴7x+4=4y+2  ⇒y=((7x+2)/4)  (x,y)=(2,4),(6,11),(10,18).....(4k−2,7k−3)  ∴n=7(4k−2)+4=28k−10

Commented bybemath last updated on 09/Jul/20

okay sir