Question

sum of the digits of a two digit number is 9 when we interview Intel is it it is found that the resulting number is greater than the original number by 27 what is the two digit number

Answer 1

let the digit at ten's place be x and the digit at one's place be y.
then, x + y =9. ..........1
and, 10x + y +27=10y + x. ...........2
solving equation 2,
9x - 9y + 27=0
OR
x-y= - 3. ...........3

adding equation 2 and 3,
2x=6
=x=3
putting this in equation 3,
y=6