How many integers \(n\) satisfy the condition \(100 < n < 200\) and the condition \(n\) has the same remainder whether it is divided by 6 or by 8?
listfor(x, 100, 200, If(x % 6 ==x % 8, x, 0))
n =(100, 101, 120, 121, 122, 123, 124, 125, 144, 145, 146, 147, 148, 149, 168, 169, 170, 171, 172, 173, 192, 193, 194, 195, 196, 197) = 26 such numbers between 100 and 200.
We can also use modular arithmetic here.
