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Some Products Differ by 94 (Posted on 2009-09-03) Difficulty: 2 of 5
Determine the total number of quadruplets (p, q, r, s) of positive integers with p < q < r < s < 100, such that: p+s = q+r and, q*r - p*s = 94.

  Submitted by K Sengupta    
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Solution: (Hide)
The required total number of solutions is 54.

For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnalytical solution (spoiler)Steve Herman2009-09-04 03:12:11
computer solutionDaniel2009-09-03 13:32:27
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