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 Forum index » Diversions » Perplex City Puzzle Cards » PXC: Green Puzzle Cards
[Star set] #115 Age of Sente
Moderators: AnthraX101, bagsbee, BrianEnigma, cassandra, Giskard, lhall, Mikeyj, myf, poozle, RobMagus, xnbomb
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locqust
Unfettered


Joined: 14 Oct 2005
Posts: 545
Location: Gloucestershire UK

 		[Star set] #115 Age of Sente
Ok card is worth 29 points and the author is Anna

Text says...

Several of the local schools in Perplex city take their children to the Academy for an annual guided tour. The teachers hope some of the magic from the hallowed institution will rub off on the youngsters and improve their puzzle setting and solving skills.

By a stroke of luck this group bumped into the Master of the Academy during a recent tour

Too young to know any better, one of the children asked Sente how old he was.

(This bit of the text is highlighted yellow)
If to my age there added be,
One half, one third, and three times three;
Six score and ten the sum you'll see,
Pray find out what my age may be.
(end of highlight)

None of the children could solve the riddle before Sente disappeared down the corridor.

Can you figure out his age?

end of text. Very Happy

Ill put the scan up later!
sente.jpg
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sente.jpg
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senteback.jpg
_________________
"If you'd been listening you would know that nintendos pass through everything." Col. Jack O'Neill

PostPosted: Fri Nov 25, 2005 6:14 am
Last edited by locqust on Fri Nov 25, 2005 4:00 pm; edited 1 time in total
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Lazarus
Boot


Joined: 29 Oct 2004
Posts: 19
Location: Weymouth, U.K.

 		I hope my maths is holding up Surprised, but I think it's

Spoiler (Rollover to View):
66.

As a check: 66 + 33 + 22 + 9 = (6*20) + 10


PostPosted: Fri Nov 25, 2005 8:11 am
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Nightingale
Veteran

Joined: 28 Nov 2004
Posts: 86

 		Yep, locqust, your maths is spot on. Congratulations on the solve!

Nightingale
_________________
Discovering the internet through trial and mostly error.

PostPosted: Fri Nov 25, 2005 2:01 pm
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locqust
Unfettered


Joined: 14 Oct 2005
Posts: 545
Location: Gloucestershire UK

 		Now while I love praise and adulation Nightingale, credit should go to lazarus not me! Laughing
_________________
"If you'd been listening you would know that nintendos pass through everything." Col. Jack O'Neill

PostPosted: Fri Nov 25, 2005 4:01 pm
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Nightingale
Veteran

Joined: 28 Nov 2004
Posts: 86

 		Good, I'm a dozy cow tonight. Sorry! Embarassed

Second try, good solve Lazarus! Your maths is tip-top!

Going to bed now.

Nightingale

Embarrassed Embarassed
_________________
Discovering the internet through trial and mostly error.

PostPosted: Fri Nov 25, 2005 4:52 pm
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micho
Guest


 		im confused, where did you get 22 from, is one half not 50? Sorry if im saying somthing really stupid

PostPosted: Wed Apr 12, 2006 3:45 pm
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beccamorgan
Kilroy


Joined: 09 Apr 2006
Posts: 1
Location: England
Spoiler (Rollover to View):
I *think* its a half and a third of the actual age, not half and a third of 100.

Half of 66 = 33

Third of 66 = 22


Becca

PostPosted: Wed Apr 12, 2006 3:58 pm
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cloudrun
Greenhorn

Joined: 01 May 2006
Posts: 5

 		At the risk of seeming stupid, how do you work that out backwards?

i.e. how do you get from 130 back to 66?

I solved it myself but can't remember how.

PostPosted: Wed May 03, 2006 4:31 pm
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baf
Boot

Joined: 29 Mar 2006
Posts: 46

 		Probably the easiest way is with a little algebra.
Sente is essentially saying "x + x/2 + x/3 + 9 = 130". That's not a hard equation to solve.

PostPosted: Wed May 03, 2006 6:38 pm
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britwitch
Greenhorn


Joined: 25 Sep 2006
Posts: 7
Location: Norwich, UK

 		#115
the age of sente
Surprised
well i looked up score and its 20
so wouldnt that make it
Spoiler (Rollover to View):
130

but i have no idea what to do with the second line of the rhyme
Quote:
Probably the easiest way is with a little algebra.
Sente is essentially saying "x + x/2 + x/3 + 9 = 130". That's not a hard equation to solve.

could you explain this in a language i understand? i'm just not that quick

PostPosted: Sun Oct 29, 2006 1:42 pm
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gunny
Guest


 		Re: #115
the age of sente
britwitch wrote:
Surprised
well i looked up score and its 20
so wouldnt that make it
Spoiler (Rollover to View):
130

but i have no idea what to do with the second line of the rhyme
Quote:
Probably the easiest way is with a little algebra.
Sente is essentially saying "x + x/2 + x/3 + 9 = 130". That's not a hard equation to solve.

could you explain this in a language i understand? i'm just not that quick


It's basic algebra: x is the unknown, in this case Sente's age..
Spoiler (Rollover to View):

So we have the words:

If to my age (x) there added be,
One half (x divided by 2, ASCII that's x/2), one third (x/3), and three times three; (9)
Six score and ten the sum you'll see, (130)
Pray find out what my age may be.

So we have:

x + x/2 + x/3 + 9 = 130

Now we want to make all the x's on one side, so we take 9 from both sides


x + x/2 + x/3 = 130 - 9


x + x/2 + x/3 = 121

Now just to get plain x's, turn everything into a fraction and find the lowest common denominator

x/1 + x/2 +x/3 = 121/1

LCD = 6


6x/6 + 3x/6 +2x/6 = 726/6

11x/6 = 726/6

We can cancel out the sixes

11x = 726

x = 726/11

x = 66

Easy!


So:

3*x = 726

PostPosted: Fri Dec 01, 2006 6:14 pm
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