Question

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

Answer 1

Answer: x = 8 , y = 5

Step-by-step explanation:

Let digits be x and y where x is in the tens place

First, x - y = 3

Second, 10y + x + 10x + y = 143

=> 11x + 11y = 143

=> 11(x + y) = 143

=> x + y = 13

By solving the two equation you will get the answer

x + y + x - y = 13 + 3

2x = 16

x = 8

y = x - 3

y = 8 - 3

y = 5