Question

Some of the digits of a two digit number is 11 given number is less than the number obtained by the interchanging the digits by nine find the number

Answer 1

let (10x+y) be the number, with x and y are two digits.

given x+y = 11

(10y+x) after interchanging digits

the both are differed by 9 given

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

9y - 9x = 9

y-x =1

we have. x + y = 11 and y - x = 1

By solving we get

2y = 12

y = 6

x = 5


The numbers are 56 and 65

Any doubts, comment below ;;))