Number System
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14 .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.