Question

The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is the original number?

• A. 28
• B. 39
• C. 82
• D. Can't say
• E. None of these

Answer 1

The correct option is E

None of these

Let the number be xy
(10x+y)-(10y+x)=54
x-y=6 And x+y=12
Solving the equations we get x=9 and y=3
So the number is 93.