Question

The sum of the digits of a two digit number is 9. If 27 is added to it, the digit of the numbers get reversed. Find the number.

Answer 1

Correct Question:-

The sum of the digits of a two digit number is 9. If 27 is added to it, the digit of the numbers get reversed. Find the number.

Solution :-

Let the number be xy .

x + y = 9......(i)

(10x+y)+27=10y+x

10x-x+y-10y=-27

9x-9y=-27

x-y=-3...(2)

add equation 1 and 2

we get

x=3

substitute it in eq 1

y=6

so the number is 36