Simple Arithmatic | 8 Dec, 2009

pankaj.sea's Avatar, Join Date: Apr 2009
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Two Numbers Are Such That Their Difference, The Sum And The Product Are In The Ratio 1:7:36. Find The Numbers And Explain!
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shabbir's Avatar, Join Date: Jul 2004
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Approved.
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venami's Avatar, Join Date: Dec 2008
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x = 12
y = 9

x-y = 3
x+y = 21
xy = 108

so x-y:x+y:xy => 1:7:36
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venami's Avatar, Join Date: Dec 2008
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From the question we can say,

x-y x+y xy
--- = ---- = ---- = r
1 7 36

From this we get three equations,

x - y = r
x + y = 7r
xy = 36r

By solving these equations, we get the value of r=3, x=12, and y=9.
nimesh like this
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venami's Avatar, Join Date: Dec 2008
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In the previous post, the first equation should be like this:

[(x-y)/1] = [(x+y)/7] = [(xy)/36] = r

It didn't display correctly, so I am reposting that equation here.
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pankaj.sea's Avatar, Join Date: Apr 2009
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Hi Venami...
You are absolutely correct!
Congrats...
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sameer_havakajoka's Avatar
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hehehe..gud maths....congrs
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venami's Avatar, Join Date: Dec 2008
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Thanks
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pankaj.sea's Avatar, Join Date: Apr 2009
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Quote:
Originally Posted by venami View Post
Thanks
You Welcome Man...
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nimesh's Avatar, Join Date: Apr 2009
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Congrats Venami. Nice calculation