Question

if the number obtained by interchanging the 2 digit number is 36 less than the original number and sum of digit is 8. find the original number​

Answer 1

Step-by-step explanation:

sum of the digits = 8

if one digit is x the other is 8- x

Answer 2

Answer:

18

Step-by-step explanation:

Let the digit in units place be x.

Therefore, digit in tens place = 8-x

Therefore, original number = 10(8-x) + x

= 80 - 10x + x

= 80 - 9x

After inter changing the digits,

Digit in units place = 8-x

Digit in tens place = x

Therefore, new number = 10x - (8-x)

= 10x - 8 + x

= 11x - 8

According to the given condition,

11x - 8 = 36 - (80-9x)

11x - 8 = 36 -80 + 9x

11x - 8 = 9x - 44

11x - 9x = -44 + 8

2x = -36

x = -36/2

x = -18

Therefore, the original number is 18.