Given a two-digit number, make a three-digit number by putting a 6 as the right-most digit. Then add 6 to…

Given a two-digit number, make a three-digit number by putting a 6 as the right-most digit. Then add 6 to the resulting three-digit number and rfemove the right-most digit to obtain another two-digit number. If the result is 76, what is the original two-digit number?