Question

Sum of the digits of a 2 - digit number is 11 .The given number is less than the number obtained by interchanging the digits by 9.Find the number.​

Answer 1

Answer:

56

Step-by-step explanation:

Let the digits be x and y.

The first number = 10x + y

The number obtained after interchanging the digits is = 10y + x

According to problem, 10y + x - 10x - y = 9

9y - 9x = 9

y - x = 1.....(1)

and, y + x = 11.....(2)

Adding the equations (1) and (2), we get,

2y = 12

y = 6

and, x = 5

The number is : 56.