Question

The digits of a two-digit number differ by 3.If the digits are interchanged and the reaulting number is added to the original number,we get 143.What can be the number?

Answer 1

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

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

Given:

x – y = 3

x = 3 + y ------------1

Also given:

10y + x + 10x + y = 143

11x + 11y = 143

x + y = 13 -------------2

substitute the value of x from eqn 1 in eqn 2

3 + y + y = 13

3 + 2y = 13

2y = 10

y = 5

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

The two digit number is = 10x + y = (10 * 8) + 5 = 85