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Problem Of The Week 29

with 4 comments


Let x,y,z be distinct positive integers such that x+y+z=11. Find the maximum value of (xyz+xy+yz+zx)?

Written by Implex

September 27, 2008 at 2:14 am

4 Responses

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  1. The values of x,y,z should be such that the sum is 11 and the products xyz, xy,yz,zx are maximised . Numbers 2,4,5
    Value of xyz+xy+yz+zx=78

    tyro

    September 27, 2008 at 3:08 am

  2. good

    outtimed

    September 27, 2008 at 3:25 am

  3. How do we get to this?
    Trial and error?.. coz even 4/4/3 seems valid. though it isn’t actually the answer.
    Is there any procedure for this?

    milind

    September 27, 2008 at 2:55 pm

  4. 4/4/3 is not possible
    the integers are distinct

    outtimed

    September 27, 2008 at 3:16 pm


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