Puzzle ZXDM 

Workings

Hint
How old was the person in 2nd place?

Answer
# Name    Age
1 Drew    30
2 Emery   24
3 Glen    27
4 Alex    32

Reasoning
By (2), the person in 2nd place was either 24 or 27.

But 2nd place can't have been 27, because, by (4), Emery was ahead, but didn't win.

So 2nd place was 24, and Glen was 27.

By (3), Drew could only be 27 or 30, but we now know what Glen was 27, so Drew was 30.

By (1), the person who came last was 32:
1
2         24
3
4         32

By (4), the 27 year old can't have won,
1 Drew    30
2         24
3 Glen    27
4         32

By (4), Emery beat the 27 year old:
1 Drew    30
2 Emery   24
3 Glen    27
4         32

Leaving Alex in last place.
1 Drew    30
2 Emery   24
3 Glen    27
4 Alex    32