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Three Digit Number (Posted on 2003-05-15) Difficulty: 4 of 5
Find a three-digit number containing three different digits where the following are all perfect squares:

  • (A) The sum of the first digit and the number formed by the second and third digits;
  • (B) The first digit multiplied by the number formed by the second and third digits and
  • (C) The sum of the three digits.

  • See The Solution Submitted by Ravi Raja    
    Rating: 3.8000 (5 votes)

    Comments: ( Back to comment list | You must be logged in to post comments.)
    Some Thoughts Hmm | Comment 22 of 28 |
    Even though all three digits must be different, what about leading zeroes on the number itself? If those are valid, and if you consider zero to be a perfect square of itself, then 036 and 081 are also valid answers.
      Posted by DJ on 2003-05-16 22:22:03
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