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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.)
    re(2): solution (More confusing!) | Comment 18 of 28 |
    (In reply to re: solution (More confusing!) by Gamer)

    I start being lost when you say
    a+b+c=y^2, a+10b+c=x^2
    and that these lead to
    9b = y^2-x^2.
    Perhaps a typo in the interchange of x and y in one or the other of the lines, but not knowing which discourages me from reading further.
      Posted by Charlie on 2003-05-16 08:03:20

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