Question

The sum of two digits of two digit number is 3 if the digits are inversed the new number is 9 less than the number

please explain step by step . Urgent!!

Answer 1

let the two digit number is = 10x + y

after inversing the digits the number would be = 10y + x

which is 9 less than 10x + y

so,

10y + x = 10x + y -9

10y - y + x -10x =-9

9y-9x=-9

or... 9x-9y=9

9(x-y) =9

x-y=9/9=1