I am thinking of two numbers, one a three digit number, and the other a two digit number. Their division gives me the result \(6.031914894\)(which is accurate to the tenth place of decimal).

Find the sum of the two numbers.

**Clarification:** The two numbers are positive integers and co-prime.And you have to find the smallest possible value of such numbers.

This problem is a part of the set All-Zebra

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