Question

Sum of the digit of a two-digit number is 9 when we interchange the digit; it is found that the resulting newnumber is greater than its original number by 27.what is the two digit number.

Answer 1

Let us assume the digits be x and y of the two-digit number

Then the two-digit number is 10x + y and reversed number = 10y + x

Given:

x + y = 9 ----------------1

Also given:

10y + x = 10x + y + 27

9y - 9x = 27

y - x = 3 --------------2

Adding equation 1 and equation 2

2y = 12

y = 6

Therefore, x = 9 - y = 9 - 6 = 3

Therefore, the two-digit number = 10x + y = 10*3 + 6 = 36

Answer - The two-digit number is 36