Question

The digits of a 2 digit number differ by 7. If the digits are interchanged and the resulting Number

is added to the original number, we get 121. Find the original number.​

Answer 1

Answer:

let the original number be 10x + y .

according to question,

x - y = 7

10x+y + 10y+x = 121

= 11x + 11y = 121

= x + y = 11

on adding the equations we get ,

2x = 18

x = 9

y = 9-7 = 2

therefore number is 29 or 92.