To make it quickly we can consider only those numbers which will give us a decimal of xxx.7. There are only a few numbers like this: 85.2, 88.2, 20.5.
I tried adding 85.2 to 17.5 and it gave me 102.5 - it was close but not close enough :)
So I picked 85.2 + 20.5 = 105.7 and voila :)