Question

A number consits of 2 digits whose sum is 9. If 27 is subtracted for the number its digits are reversed. Find the number.

Answer 1

Let the digit at once place be y
" " " " tens " "x
X+y=9 -(1)
Original=10x+y
Reverse=10y+x
10x+y=10y+x-27
9x=9y-27
9 (x-y)=-27
x-y=-3
x=-3+y -(2)
Put value of x in 1 eq
-3+y+y=9
2y=6
y=3
Put y=3 in 1 eq
X+3=9
x=6
So no. Is 36