Question

the difference of the digits of a 2 digit no. is 3. if the digits are interchanged and the new number is added to the original no,the result is 77.find the original no.

Answer 1

Answer:

52

Step-by-step explanation:

let the digits be x and y

x in tens place and y in ones place

x - y = 3 equ (1)

10x + y + 10y + x = 77

11x + 11y = 77

11(x + y) = 77

x + y = 77/11

x + y = 7 equ (2)

adding equ (1) & (2)

2x = 10

x = 10/2 =5

x = 5

x + y = 7

5 + y = 7

y = 7 - 5

y = 2

the two digits number is 52