Question

The digits of a two digit numberdiffer by 3.if the dijits are interchanged and the resulting number is added to the original number we get 143 .what can be the original number?

Answer 1

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

Then the original two-digit number is 10x + y

Given:

x – y = 3

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

Also given:

10y + x + 10x + y = 143

11x + 11y = 143

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

Substitute the value of x from eqn 1 to eqn 2

y + 3 + y = 13

2y = 10

y = 5

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

Therefore, Original two-digit number = 10x + y = (8 * 10) + 5 = 85.