Question 118384
Let x=the tens digit
And y=the units digit
(Note: We know that this number is 10x+y. Like, for example, 45 could be written at 10*4+5.  We also know that if the digits are reversed, the number formed would be 10y+x) 

Now we are told that:

x+y=8--------------------------------eq1

And we are also told that:
10y+x=10x+y+36-------------------------eq2

In eq1, subtract y from both sides and we get
x+y-y=8-y or
x=8-y ---------------------------------------eq1a
Now substitute x=8-y into eq2

10y+8-y=10(8-y)+y+36  get rid of parens

10y+8-y=80-10y+y+36  collect like terms on each side

9y+8=116-9y  subtract 8 from and add 9y to both sides

9y+9y+8-8=116-8-9y+9y  collect like terms
18y=108  divide both sides by 18

y=6  -----------------------------------------the units digit
substitute y=2 into eq1a
x=8-6=2------------------------------------the 10's digit

original number is 26

CK
6+2=8
8=8

also

62=26+36
62=62


Hope this helps---ptaylor