Results 1 to 7 of 7

Thread: Three Ages

  1. #1
    Silver Lounger
    Join Date
    Mar 2001
    Location
    Dallas, Texas, USA
    Posts
    1,680
    Thanks
    0
    Thanked 1 Time in 1 Post

    Three Ages

    Transpsing the two digits of Alices age gives Billies age. The difference between their ages is twice Carlas age and Billie is ten times as old as Carla. What are their ages?
    - Ricky

  2. #2
    WS Lounge VIP sdckapr's Avatar
    Join Date
    Jul 2002
    Location
    Pittsburgh, Pennsylvania, USA
    Posts
    11,225
    Thanks
    14
    Thanked 342 Times in 335 Posts

    Re: Three Ages

    I think this is a "moderate cheat"
    <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>Ages should be integers! Though I guess at that age they still use the half!
    Alice is 54
    Billie is 45
    Carla is 4.5
    45 = 10*4.5
    54=45 = 9 = 2*4.5</font color=yellow></span hi>

    Steve

  3. #3
    Silver Lounger
    Join Date
    Mar 2001
    Location
    Dallas, Texas, USA
    Posts
    1,680
    Thanks
    0
    Thanked 1 Time in 1 Post

    Re: Three Ages

    Steve, You got me! And you're correct <img src=/S/cheers.gif border=0 alt=cheers width=30 height=16>
    - Ricky

  4. #4
    Platinum Lounger
    Join Date
    Nov 2001
    Location
    Melbourne, Victoria, Australia
    Posts
    5,016
    Thanks
    0
    Thanked 0 Times in 0 Posts

    Re: Three Ages

    I don't see this as a "cheat" at all Steve. It's the only solution within the constraints of the problem. From the information given I determine that: <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow> the digits in the ages of A & B must be related by 5p = 4q, where the ages are pq and qp. The only single digits able to satisfy this condition are 4 and 5. The fractional age is a consequence of this.</font color=yellow></span hi>

    Alan

  5. #5
    WS Lounge VIP sdckapr's Avatar
    Join Date
    Jul 2002
    Location
    Pittsburgh, Pennsylvania, USA
    Posts
    11,225
    Thanks
    14
    Thanked 342 Times in 335 Posts

    Re: Three Ages

    I did find the solution even with this "cheat" and I admit it is only a "moderate one"

    I just don't think it is NORMAL practice to use half years. I would have also complained if it reguired other "decimal" dates. Though I suppose one could argue that if a child is < 2 years using deciamls that correspond to MONTHS fractions is acceptable, since we give ages of 18 months etc, ir if < about 10 to give half years as is the practice of many children.

    Over these ages I think the practice is never done. "I am 45 and a half" is not said, but I am "8 and ahalf" is.

    Steve

  6. #6
    Platinum Lounger
    Join Date
    Nov 2001
    Location
    Melbourne, Victoria, Australia
    Posts
    5,016
    Thanks
    0
    Thanked 0 Times in 0 Posts

    Re: Three Ages

    At this stage of the game, I just say "I'm under 50" and leave it at that. <img src=/S/grin.gif border=0 alt=grin width=15 height=15>

    Alan

  7. #7
    Plutonium Lounger
    Join Date
    Mar 2002
    Posts
    84,353
    Thanks
    0
    Thanked 29 Times in 29 Posts

    Re: Three Ages

    And I can't even say that any more, at least not truthfully <img src=/S/sad.gif border=0 alt=sad width=15 height=15>

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •