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 (or) 5

y = 5 (or) 8

Step-by-step explanation:

Let the digits be x and y

so, the number will be 10x + y

10x + y + 10y + x = 143

so,

11x + 11y = 143

so,

x + y = 13

Case 1: Let x > y

so,

x - y = 3

x + y = 13

adding, we get

x = 8

y = 5

Case 2: Let y > x

so,

y - x = 3

y + x = 13

adding, we get

y = 8

x = 5

so,

y = 5 (or) 8

x = 8 (or) 5

Hope it helps