Question

Sum of the digits of a two-digit number is 5. When we interchange the digits, it is found that the resulting new number is less than the original number by 27. What is the two-digit number?11.

Answer 1

Let the digits be x and y. x+y=5 and 10x+y=27+10y+x.
9x-9y=27.
x-y=3and x+y=5.

Solvinh these equations. We get
X=4 and y=1.

Therefore the number is 41