Question

The sum of the digits of a two-digit number is 11. If we interchange the digits then the new number formed is 45 less than the original. Find the original number.

Answer 1

38

Explanation:

the value of the number is 10*y (y is the tens digit) + x = 10x( now x is the tens digit) + y +45

9x+45=9y

x+5=y

x+y=11

x=11-y

x-11=-y

y=11-x

x+5=11-x

2x=6

x=3

y=8

original number is 38