1. SubscriberBigDogg
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    17 Oct '21 17:001 edit
    @venda said
    I do look every week but most of them are not very good so I don't bother posting them.
    This weeks is not very challenging but here goes:-
    I have a square.I increase the length of each side by 14 metres and it's area grows by 700 square metres(there's always a 700 element to them!!)What is the area of my new larger square
    Reveal Hidden Content
    1024 square meters
  2. Subscribervenda
    Dave
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    18 Oct '21 08:37

    Removed by poster

  3. Subscribervenda
    Dave
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    18 Oct '21 08:38
    @BigDogg
    Correct
  4. SubscriberPonderable
    chemist
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    18 Oct '21 10:50
    @BigDogg is correct of course.

    I will just give the equations:

    (a+14)^2=a^2+700
    => a^2+28a+196=a^2+700
    thus a=18 and (18+14)^2=1032
  5. Subscribervenda
    Dave
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    18 Oct '21 12:33
    @ponderable said
    @BigDogg is correct of course.

    I will just give the equations:

    (a+14)^2=a^2+700
    => a^2+28a+196=a^2+700
    thus a=18 and (18+14)^2=1032
    Cheers Pondy.
  6. Subscribervenda
    Dave
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    23 Oct '21 10:21
    I don't know how difficult this weeks puzzle is 'cos I haven't really thought about it yet but here it is:-
    MInd co and Set ltd are about to merge.A preliminary swap ratio (the relative values of two merging companies'respective shares) of 700 Mind co shares to 1 Set ltd share is calculated.The next day Mind co shares rise by 40% and Set ltd shares fall by 40%.What should be the new swap ratio
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    25 Oct '21 04:57
    @venda said
    I don't know how difficult this weeks puzzle is 'cos I haven't really thought about it yet but here it is:-
    MInd co and Set ltd are about to merge.A preliminary swap ratio (the relative values of two merging companies'respective shares) of 700 Mind co shares to 1 Set ltd share is calculated.The next day Mind co shares rise by 40% and Set ltd shares fall by 40%.What should be the new swap ratio
    For the preliminary swap ratio
    Mind Co shares to Set Ltd shares
    700:1
    So when Mind Co shares rise in value by 40% fewer shares are needed to be equal to Set Ltd shares.
    700/1.4=500
    When Set Ltd shares fall in value by 40% more shares are needed to be equal to Mind Co shares.
    1/0.6= 1 2/3 or 5/3
    So combine them to get the new swap ratio.
    500:5/3 =300:1
    So the new swap ratio is 300 Mind Co shares to 1 Set Ltd share.
  8. Subscribervenda
    Dave
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    25 Oct '21 13:26
    @damionhonegan said
    For the preliminary swap ratio
    Mind Co shares to Set Ltd shares
    700:1
    So when Mind Co shares rise in value by 40% fewer shares are needed to be equal to Set Ltd shares.
    700/1.4=500
    When Set Ltd shares fall in value by 40% more shares are needed to be equal to Mind Co shares.
    1/0.6= 1 2/3 or 5/3
    So combine them to get the new swap ratio.
    500:5/3 =300:1
    So the new swap ratio is 300 Mind Co shares to 1 Set Ltd share.
    Correct.Well done!
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    19 Nov '21 00:021 edit
    @damionhonegan said
    For the preliminary swap ratio
    Mind Co shares to Set Ltd shares
    700:1
    So when Mind Co shares rise in value by 40% fewer shares are needed to be equal to Set Ltd shares.
    700/1.4=500
    When Set Ltd shares fall in value by 40% more shares are needed to be equal to Mind Co shares.
    1/0.6= 1 2/3 or 5/3
    So combine them to get the new swap ratio.
    500:5/3 =300:1
    So the new swap ratio is 300 Mind Co shares to 1 Set Ltd share.
    You can also do it this way.
    Pretend that Set Ltd shares are worth 700 of any currency and Mind Co. shares are worth 1 of that currency.
    Decrease in value of Set Ltd shares:
    $700*(0.6)= $420
    Increase in value of Mind Co. shares:
    $1*(1.4)= $1.40
    The new swap ratio is $420 : $1.40 = 300:1
    So the new swap ratio is 300 Mind Co. shares to 1 Set Ltd shares.
  10. Subscribervenda
    Dave
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    19 Nov '21 16:24
    @damionhonegan said
    You can also do it this way.
    Pretend that Set Ltd shares are worth 700 of any currency and Mind Co. shares are worth 1 of that currency.
    Decrease in value of Set Ltd shares:
    $700*(0.6)= $420
    Increase in value of Mind Co. shares:
    $1*(1.4)= $1.40
    The new swap ratio is $420 : $1.40 = 300:1
    So the new swap ratio is 300 Mind Co. shares to 1 Set Ltd shares.
    There's usually more than one way to solve mathematical puzzles
    The last couple of weeks the Saturday puzzles have been rubbish.
    I'll be looking at this weeks as usual
  11. Subscribervenda
    Dave
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    21 Nov '21 10:10
    Another "700" based puzzle;-
    Nootropian marching bands may only march in a square formation.One large band could not do this.When 700 left the rest could form an exact square;when the 700 returned,each bringing a friend,a large exact square was formed.
    What's the fewest number of people that could have first met?
  12. SubscriberBigDogg
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    21 Nov '21 18:09
    @venda

    Reveal Hidden Content
    If n is the original number of people, both n-700 and n+700 must be squares, and n must be greater than 700. The smallest value of n is 821.
  13. Subscribervenda
    Dave
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    22 Nov '21 19:44
    Correct Bigdogg.
    Well done.
    Too easy?
  14. SubscriberBigDogg
    Father Mocker
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    23 Nov '21 17:23
    @venda said
    Correct Bigdogg.
    Well done.
    Too easy?
    Well, I wrote a program to solve it. It was not terribly difficult to do, but still enjoyable.
  15. Subscribervenda
    Dave
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    23 Nov '21 18:36
    enjoyable is what matters
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