Sara's right, proof below in white so as not to spoil it for those who don't want algebra spoiling the mysterious mind reading illusion! Let your 2 digit number be "xy".
The number is actually 10x + y (tens and units, back to primary school )
Add the digits together = x+y
Take the sum (x+y) from the number (10x+y)
= 10x+y -(x+y)
= 10x -x +y -y
= 9x
so the answer is always 9 times the first digit of your number, so it will always be a multiple of 9. Look at all the symbols for the 9 times table....