The product of two positive integers is 1000. If neither of these two numbers has a zero as one of its digits, than what is their sum?
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1000= 2^3 x 5^3. For no zero in any of the numbers a and b, all the 2's and 5's should be in different numbers. So, one number=2^3=8, and another=5^3=125. So, sum is 133.