Question

In a 2 digit number the sum of 2 digits is 8 if 8 is added to the number it's digits are reversed find the number

Answer 1

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

Therefore, the number = 10x + y and reversed number = 10y + x

Given:

x + y = 8------------1

Also given:

10x + y + 8 = 10y + x
9y - 9x = 18
y - x = 2 ----------2

Adding equation 1 and equation 2

2y = 10
y = 5

Therefore, x = 8 - y = 8 - 5 = 3

Therefore, the two-digit number = 10x + y = 10*3 + 5 = 35