a two-digit number is such that the sum of the digits is 11. when the number with the same digits reversed is subtracted from the number, the difference is 9. what is the number

Question

anonymous · Answer

Let xy be the number
then x+y =11
What other equations can you write between x and  y?

anonymous · Answer

The original number is 10 x +y
The reversed is       10y + x
Can you finish it now?

insa · Answer

i dont get the seconed equation

anonymous · Answer

$$10 x +y -(10 y + x) =9\
10 x + y -10y -x =9\
9 x - 9y =9\
x-y =1


$$
Can you finish it now?

anonymous · Answer

$$

 x+ y =11\
x-y =1\
2 x = 12\
x=6\
y=5
$$
The number is 65
6+5 =11
65 -56=9

insa · Answer

now i get that...thx :)

anonymous · Answer

np