Question

The sum of digits of a two digit number is 13. If the number formed by reversing the digits is less than the original number by 27, find the original number. (Solve with steps.)

Answer 1

Answer is 85
8+5=13
85-58=27☺☺

Answer 2

HI !

Let the original no: be 10x + y

x + y = 13    ===> [1]

reversed no: = 

10x+ y - 27 = 10y + x
9x - 9y = 27

x - y = 3  ===> [2]

adding equations 1 and 2

x +y = 13
x - y = 3
=====
2x = 16
x = 8

x - y = 3

8 -y = 3

5 = y

10x  + y 
10 x 8 + 5
 = 85

85 is the no: