Question 120304
let x="tens digit" and y="units digit"


"When the digits of a two-digit number are reversed, the new number is 9 more than the original number"
__ 10y+x=10x+y+9


"the sum of the digits of the original number is 11"
__ x+y=11


x=11-y __ substituting gives 10y+(11-y)=10(11-y)+y+9 __ 9y+11=119-9y __ 18y=108