Question

Sum of the digits of a two - number is 9 .When we interchange the digits ,it is found that the original number by 27 , What is the two- digit number?

Answer 1

Let two digits are x, y and the number is 10x+y

According to the question

x+y=9 and x = 9-y

When we interchange the digit, then the number is 10y+x

Then according to the question,

10y+x = 10x+y+27

9y = 9x+27

9y = 9(9-y)+27

y = (9-y)+3

2y = 12

y = 6 and x = 3