Simple Arithmatic | 8 Dec, 2009

Pro contributor
7Dec2009,19:50   #1
pankaj.sea's Avatar
Two Numbers Are Such That Their Difference, The Sum And The Product Are In The Ratio 1:7:36. Find The Numbers And Explain!
Go4Expert Founder
8Dec2009,18:53   #2
shabbir's Avatar
Approved.
Ambitious contributor
8Dec2009,19:48   #3
venami's Avatar
x = 12
y = 9

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

so x-y:x+y:xy => 1:7:36
Ambitious contributor
8Dec2009,19:54   #4
venami's Avatar
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
Ambitious contributor
8Dec2009,19:56   #5
venami's Avatar
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.
Pro contributor
8Dec2009,21:33   #6
pankaj.sea's Avatar
Hi Venami...
You are absolutely correct!
Congrats...
Skilled contributor
8Dec2009,22:12   #7
sameer_havakajoka's Avatar
hehehe..gud maths....congrs
Ambitious contributor
8Dec2009,22:16   #8
venami's Avatar
Thanks
Pro contributor
8Dec2009,22:20   #9
pankaj.sea's Avatar
Quote:
Originally Posted by venami View Post
Thanks
You Welcome Man...
Invasive contributor
9Dec2009,21:46   #10
nimesh's Avatar
Congrats Venami. Nice calculation