For how many different digits \(n\) is the two-digit number \(\underline{6n}\) divisible by \(n\)? (The expression \(\underline{6n}\) should be interpreted as a two-digit integer with tens digit 6 and units digit \(n\), not as 6 times \(n\).)
If
n =1 then 6n = 61 OK
n =2 = 62 OK
n = 3 = 63 OK
n = 4 = 64 OK
n = 5 = 65 OK
n = 6 = 66 OK
These are the only ones that work [ 67/7 , 68/8 , 69/9 and 60/0 are not integers (the last is undefined)]
So.....6 values of n
Thank you!
+122 
