7 digit number

If 3c54d10 is divisible by 330, what is the sum of c and d?

Correct answer:

s1 =  8
s2 =  5
s3 =  11

Step-by-step explanation:

 3c 54d 10 mod 330 = 0 3c 54d 1 mod 33 = 0 33 = 3   11  s = c+d 0  s  9+9 0  s  18   3+c+5+4+d+1 mod 3 = 0  3+5+4+1+s mod 3 = 0   13 + s mod 3 = 0  13 = 3 4 + 1 (1+s) mod 3 = 0 s = 2,5,8,11,15,18  x1=3054810 y1=x1/330=3054810/330=9257 s1=0+8=8
x2=3454110 y2=x2/330=3454110/330=10467 s2=4+1=5
x3=3754410 y3=x3/330=3754410/330=11377 s3=7+4=11



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