Question

Sum of the digits of a two-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 x and y be the two digits.

Hence the number would be 10x + y.

x + y = 11

The number obtained by interchanging is 10y + x

(10y + x ) - (10x+y) = 9

=> 9y - 9x = 9

=> y - x = 1

Solve both equations:

x + y = 11

-x + y = 1

//add both the equations.

2y = 12 => y = 6.

 Hence     x = 5  

Thus the number is 56.