Can you solve this (Gaurav Agarwal)?

# (c) joric 2015

# CAN YOU SOLVE THIS?
# [  ] + [  ] + [  ] = 30
# Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15)
# You can also repeat the numbers.
# This question came in in UPSC Final Exams held in December 2013 at India
# You will be glad to note that only Gaurav Agarwal (IAS Toppler) could solve it.

a = ["1","3","5","7","9","11","13","15"]

for b in range (1,20):
    for x in a:
        for y in a:
            for z in a:
                try:
                    if int(x,b)+int(y,b)+int(z,b)==int("30",b):
                        print "%s+%s+%s=30 (base %d)" % (x,y,z,b)
                except:
                    pass

"""
1+11+13=30 (base 5)
1+13+11=30 (base 5)
3+11+11=30 (base 5)
11+1+13=30 (base 5)
11+3+11=30 (base 5)
11+11+3=30 (base 5)
11+13+1=30 (base 5)
13+1+11=30 (base 5)
13+11+1=30 (base 5)
1+11+15=30 (base 7)
1+13+13=30 (base 7)
1+15+11=30 (base 7)
3+11+13=30 (base 7)
3+13+11=30 (base 7)
5+11+11=30 (base 7)
11+1+15=30 (base 7)
11+3+13=30 (base 7)
11+5+11=30 (base 7)
11+11+5=30 (base 7)
11+13+3=30 (base 7)
11+15+1=30 (base 7)
13+1+13=30 (base 7)
13+3+11=30 (base 7)
13+11+3=30 (base 7)
13+13+1=30 (base 7)
15+1+11=30 (base 7)
15+11+1=30 (base 7)
1+13+15=30 (base 9)
1+15+13=30 (base 9)
3+11+15=30 (base 9)
3+13+13=30 (base 9)
3+15+11=30 (base 9)
5+11+13=30 (base 9)
5+13+11=30 (base 9)
7+11+11=30 (base 9)
11+3+15=30 (base 9)
11+5+13=30 (base 9)
11+7+11=30 (base 9)
11+11+7=30 (base 9)
11+13+5=30 (base 9)
11+15+3=30 (base 9)
13+1+15=30 (base 9)
13+3+13=30 (base 9)
13+5+11=30 (base 9)
13+11+5=30 (base 9)
13+13+3=30 (base 9)
13+15+1=30 (base 9)
15+1+13=30 (base 9)
15+3+11=30 (base 9)
15+11+3=30 (base 9)
15+13+1=30 (base 9)
1+15+15=30 (base 11)
3+13+15=30 (base 11)
3+15+13=30 (base 11)
5+11+15=30 (base 11)
5+13+13=30 (base 11)
5+15+11=30 (base 11)
7+11+13=30 (base 11)
7+13+11=30 (base 11)
9+11+11=30 (base 11)
11+5+15=30 (base 11)
11+7+13=30 (base 11)
11+9+11=30 (base 11)
11+11+9=30 (base 11)
11+13+7=30 (base 11)
11+15+5=30 (base 11)
13+3+15=30 (base 11)
13+5+13=30 (base 11)
13+7+11=30 (base 11)
13+11+7=30 (base 11)
13+13+5=30 (base 11)
13+15+3=30 (base 11)
15+1+15=30 (base 11)
15+3+13=30 (base 11)
15+5+11=30 (base 11)
15+11+5=30 (base 11)
15+13+3=30 (base 11)
15+15+1=30 (base 11)
3+15+15=30 (base 13)
5+13+15=30 (base 13)
5+15+13=30 (base 13)
7+11+15=30 (base 13)
7+13+13=30 (base 13)
7+15+11=30 (base 13)
9+11+13=30 (base 13)
9+13+11=30 (base 13)
11+7+15=30 (base 13)
11+9+13=30 (base 13)
11+13+9=30 (base 13)
11+15+7=30 (base 13)
13+5+15=30 (base 13)
13+7+13=30 (base 13)
13+9+11=30 (base 13)
13+11+9=30 (base 13)
13+13+7=30 (base 13)
13+15+5=30 (base 13)
15+3+15=30 (base 13)
15+5+13=30 (base 13)
15+7+11=30 (base 13)
15+11+7=30 (base 13)
15+13+5=30 (base 13)
15+15+3=30 (base 13)
5+15+15=30 (base 15)
7+13+15=30 (base 15)
7+15+13=30 (base 15)
9+11+15=30 (base 15)
9+13+13=30 (base 15)
9+15+11=30 (base 15)
11+9+15=30 (base 15)
11+15+9=30 (base 15)
13+7+15=30 (base 15)
13+9+13=30 (base 15)
13+13+9=30 (base 15)
13+15+7=30 (base 15)
15+5+15=30 (base 15)
15+7+13=30 (base 15)
15+9+11=30 (base 15)
15+11+9=30 (base 15)
15+13+7=30 (base 15)
15+15+5=30 (base 15)
7+15+15=30 (base 17)
9+13+15=30 (base 17)
9+15+13=30 (base 17)
13+9+15=30 (base 17)
13+15+9=30 (base 17)
15+7+15=30 (base 17)
15+9+13=30 (base 17)
15+13+9=30 (base 17)
15+15+7=30 (base 17)
9+15+15=30 (base 19)
15+9+15=30 (base 19)
15+15+9=30 (base 19)
...

"""