Question

Sum of the digits of a two digits number
is 11. The given number is less than the number obtained by interchanging the digits by 9. Find the number

Answer 1

let unit place digit = x

ten place digit=y

x+y=11....(1)

10x+y=x+10y-9

9x-9y=-9

x-y=-1...(2)

then x=11-y

put value of x in(2)

11-y-y=-1

2y=12

y=6

put value of y in x=11-y

x=11-6

x=5

then number=x+10y

=5+60

=65