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Missing digits (Posted on 2004-09-04) Difficulty: 2 of 5
Multiplying three consecutive even numbers gives 87*****8, where each "*" stands for a digit. What are the missing numbers?

  Submitted by Federico Kereki    
Rating: 2.2857 (7 votes)
Solution: (Hide)
If P is the middle even number, the product is (P-2)P(P+2)= P^3-4P. This result must be between 87000008 and 87999998; we can approximate P by taking cube roots, and we find P should be 444, which does work out: 442*444*446= 87526608

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPuzzle ResolutionK Sengupta2007-06-25 15:47:35
AnswerK Sengupta2007-06-25 15:30:05
No Subjectdoremi2004-10-29 20:23:52
SolutionSolution, probably nothing newnikki2004-09-07 14:27:04
SolutionanswerJim2004-09-07 10:18:38
SolutionCube Rootsbrianjn2004-09-04 21:07:17
SolutionAnswerOskar2004-09-04 18:47:50
SolutionSolutionDan Blume2004-09-04 17:00:45
SolutionSolutionDavid Shin2004-09-04 09:47:58
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