Nice!  You got it about 3 times more quickly than I did.

Hey, I did it in 0.526 sec (do I have to count coding time?)


def is_divisible(x,i):
    v = x/float(i)
    return v==int(v)

def sum(x):
    val = 0
    for i in x:
        val += i
    return val

def digits(n):
    n = str(n)
    digits = []
    for char in n:
        digits.append(int(char))
    return digits


i = 0
done = 0
divisor = 17
while (not done):
    if is_divisible(sum(digits(i)),divisor) and is_divisible(sum(digits(i+1)),divisor):
        print (i,i+1)
        done = 1
    i = i+1




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