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Category: Community
Forum: Chat Room
Thread: Weekend Puzzles |
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Thread Status: Active Total posts in this thread: 361
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Bryn Mawr
Senior Cruncher Joined: Dec 26, 2018 Post Count: 384 Status: Offline Project Badges: 
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Given are the following four sums: I see 3 sums and a division problem. No, I don't have it yet. I am presuming a variable next to a number implies a multiplication. Cheers No, 30$ does not imply 30*$, more 30 followed by some operation denoted by $. |
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adriverhoef
Master Cruncher The Netherlands Joined: Apr 3, 2009 Post Count: 2346 Status: Offline Project Badges: 
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It is time for revealing the solution to the math riddle that I posted last weekend:
Let the number in front of the dollar ($) be p and let the number in front of the ampersand (&) be q, symbolically. Since 8 - 2 equals 30$, it means that 30$ equals 6, implying that p$ represents a number that is equal to a fifth of p: p$ = p / 5. Also, 3 + 5 equals 13&, which means that 13& equals 8, implying that q& represents a number that is equal to q minus 5: q& = q - 5. [Now let me add this last sentence before I try to overcome the 'Forbidden' forums problem]: Let's check it with this division (see above): 60& / 25$ = 16&; this would be, in mathemical words, (60 - 5) / (25 / 5) = 55 / 5 = 11 = (16 - 5) = 16&. |
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adriverhoef
Master Cruncher The Netherlands Joined: Apr 3, 2009 Post Count: 2346 Status: Offline Project Badges:
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So now we have:
p$ = p / 5 q& = q - 5 Let's try this with the last sum in the puzzle: 100$$ + 6& = （100 / 5）$ + （6 - 5） = 20$ + 1 = （20 / 5） + 1 = 4 + 1 = 5. So, if ?$ （or p$） = 5, then 5 = p$ = p / 5, therefore p = 25: the value of the question mark is 25. There you have it.  Thanks for participating! Adri PS I have changed the parentheses into wide characters as a last resort to post this message to overcome the 'Forbidden' problem. |
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alanb1951
Veteran Cruncher Joined: Jan 20, 2006 Post Count: 1317 Status: Recently Active Project Badges: 
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Adri,
I wondered how you were going to describe how to solve it -- neat! (I was going to say "Think of the $ or & as a function which is preceded by its single parameter" but that is programmer-speak... I saw your message elsewhere about problems posting the above; I've had a look and can't reproduce your problem (perhaps because I'm using a system configured for the GB locale?) However, when I'd tried to post a hint for Sgt. Joe I got Forbidden (and gave up because I'd lost two much longer posts to the same problem a couple of days earlier!) -- fortunately, Bryn Mawr obliged so no loss... Cheers - Al |
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Sgt.Joe
Ace Cruncher USA Joined: Jul 4, 2006 Post Count: 7844 Status: Offline Project Badges: 
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Given are the following four sums: I see 3 sums and a division problem. Is there something wrong in my wording, Sgt. Joe? I followed my dictionary Dutch - English: som (de) -1. (totaal): 'sum' 2. (bedrag): 'sum', 'amount' 3. (opgave): 'sum', [sommen maken]: 'do sums' 4. (geheel van gevoelswaarden): 'sum (total)' Adri PS In order to post this, I had to put a minus sign (or some other allowed character) in front of number 1, else I got: Forbidden (You don't have permission to access this resource.) SUM 8 - 2 = 30$ SUM 3 + 5 = 13& Division 60& / 25$ = 16& SUM 100$$ + 6& = ?$ Cheers
Sgt. Joe
*Minnesota Crunchers* |
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adriverhoef
Master Cruncher The Netherlands Joined: Apr 3, 2009 Post Count: 2346 Status: Offline Project Badges:
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A new puzzle again. This week(end) I will present to you six figures and one extra number:
The six figures: 3 6 8 10 25 100 (three, six, eight, ten, twenty-five, one hundred) The extra number: 877 Explanation: This is a puzzle in which you are provided with six numbers and must use each of them exactly once, combined with five arithmetic operations, to achieve a certain target number. You may change the order of the six figures. The possible arithmetic operations are pretty basic: addition, subtraction, multiplication, division, powers/roots, and even the factorial function. Placing of brackets is allowed, so (6 - 3) + (10 - 8) × (100 - 25) is valid, but equals only 153.  Good luck! Adri PS There is more than one solution and you'll need to find only one.  |
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Bryn Mawr
Senior Cruncher Joined: Dec 26, 2018 Post Count: 384 Status: Offline Project Badges:
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Done
----------------------------------------BTW, is it possible to message another poster? It seems too easy just to say done without sending the solution to Adri. [Edit 1 times, last edit by Bryn Mawr at Oct 18, 2025 6:32:50 PM] |
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alanb1951
Veteran Cruncher Joined: Jan 20, 2006 Post Count: 1317 Status: Recently Active Project Badges:
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Thanks, Adri, for some more relief from boredom :-)
Took me longer than it should have, as I missed an obvious option at first! Bryn Mawr - I agree that saying "Done" doesn't prove a great deal, but if there is a messaging function I don't know of it. :-( Cheers - Al. |
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adriverhoef
Master Cruncher The Netherlands Joined: Apr 3, 2009 Post Count: 2346 Status: Offline Project Badges:
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Hi Bryn Mawr, if the Discourse part of World Community Grid would have worked, you could have DM'd me there, I guess. There are also ways to e-mail me, but that wasn't your question.
---------------------------------------- Adri [Edit 1 times, last edit by adriverhoef at Oct 19, 2025 12:54:02 PM] |
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Bryn Mawr
Senior Cruncher Joined: Dec 26, 2018 Post Count: 384 Status: Offline Project Badges:
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Thanks, Adri, for some more relief from boredom :-) Took me longer than it should have, as I missed an obvious option at first! Bryn Mawr - I agree that saying "Done" doesn't prove a great deal, but if there is a messaging function I don't know of it. :-( Cheers - Al. Ho hum, trust it is then :-) |
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