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if 1/xy (x+y)=3/4, and 1/y=1/2, what is the value of 1/x

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Source: — Problem Solving |

by Jim@StratusPrep » Tue Sep 04, 2012 7:57 pm
The second statement says that y = 2....

So, 1/ 2x (x +2) = 3/4

or

x + 2 / 2x = 3/4

so 4x + 8 = 6x

8 = 2x or x = 4

Correct me if I got the translation of your question wrong...
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by GMATGuruNY » Wed Sep 05, 2012 12:25 am
1/x + 1/y = (y+x)/xy.
Thus:
1/x = (x+y)/xy - 1/y = 3/4 - 1/2 = 1/4.
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by prachisharma » Fri Sep 07, 2012 10:25 am
as per sceond equation, y=2

solve equation 1 using "y=2"

(x+y)/xy=3/4
4x+8=6x
x=4
1/x=1/4
Prachi Sharma
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