How many integers \(n\) satisfy the condition that it is between 100 and 200, exclusive, and the condition \(n\) has the same remainder whether it is divided by \(6\) or \(8\) ?

LOL314jnl Feb 9, 2019

#3**+1 **

If I understand the question...

LCM [ 6, 8 ] = 24

The multiples of 24 between 100 and 200 are :

n = 120, 144, 168, 192

So...n will have the same remainder when divided by 6 or 8

CPhill Feb 9, 2019