In a three-digit number, the sum of digits is 14 and when the number is divided by the sum of digits, we get 51 as quotient and 11 as remainder. Find the number.

Using the division algorithm, the number equals the sum of the digits multiplied by the quotient plus the remainder. Substituting the given values, we get 14 multiplied by 51 plus 11, which is 714 plus 11, yielding 725.

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