The product of two whole numbers is 1000. If neither of the numbers is a multiple of 10, what is their sum?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The product of two whole numbers is 1000. If neither of the numbers is a multiple of 10, what is their sum?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
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The product of two whole numbers is 1000. If neither of the numbers is a multiple of 10, what is their sum?
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