Question 760532
let the three terms be 

x   y  and x+y+2

added altogether they = 36, so 2x+2y = 34

now in an AP there is a common difference between any two consecutive terms, so x+y+2 -  y = y-x   tidy this up and you get y=2x+2
substitute this into 2x + 2y =34 to elliminate the y term, and you get
6x = 30, so x =5

substitute this into any of the above, to get y = 12

so the three terms are

5   12   and  19