Solution:
2x = 6 z Þ 2 = 6z/x (i)
3y = 6 z Þ 3 = 6z/y (ii)
Multiplying (i)and(ii)
2x3 = 6z/x x 6z/y
61 = 6z/x +z/y
Þ1 = (z/x) +(z/y)
Þ1= z(1/x +1/y)
Þ1/z = 1/x +1/y
Þ 1/x + 1/y + 1/z = 0

Question: If 2x = 3y = 6z then Prove that 1/x + 1/y + 1/z=0
Solution: 2x = 6 z Þ 2 = 6z/x (i) 3y = 6 z Þ 3 = 6z/y (ii) Multiplying (i)and(ii) 2x3 = 6z/x x 6z/y 61 = 6z/x +z/y Þ1 = (z/x) +(z/y) Þ1= z(1/x +1/y) Þ1/z = 1/x +1/y Þ 1/x + 1/y + 1/z = 0
24 Comments
princess
8/6/2014 10:13:10 pm
Thnx
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shermaly varghese
19/7/2014 11:29:27 pm
thank you
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bhumi
10/8/2014 08:21:43 pm
Thanx..
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Bishwa Mohan Kumar
21/4/2015 03:04:14 pm
I was trying it for more than 8 hours. your solution makes me cool now.
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manoj
4/8/2015 03:47:03 am
feeling fresh aftr seeing this solution
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3/10/2015 11:29:21 pm
It was very tough,i m finding this ans from 13 days,so finally i got
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Jyothi kulkarni
8/4/2016 10:36:56 pm
It was very helpful. Thank you very much
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nitu
20/4/2016 07:21:28 am
thanks
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Divyesh
10/5/2016 09:28:02 am
Thanks
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Rose
27/9/2016 08:30:52 am
I really did not understand your answer
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Gopal
3/10/2016 06:19:59 pm
Multiply the power of both the sides by 1/x in the first case. That is the key to the answer. Bring it to the base of 6.
parnam singh
24/6/2016 10:25:54 am
Thanx for helping me to get the solution
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ghon
25/6/2016 10:04:07 am
woh it was so helpfull for me thnx
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Jahnavi
22/7/2016 07:38:49 am
Hmmm it's nice and helpful
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Albert Einstein
19/9/2016 09:06:03 am
Thank u. Even I couldn't solve it.
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Mashav
22/9/2016 12:31:22 am
Thnx bro I was trying it for many hours but now I m cool
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Gopal
3/10/2016 06:15:31 pm
thanks very helpful on exam morning
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PriYanShu.....
28/1/2017 07:08:31 am
thank you so much.....
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Sanjeevani
2/6/2017 06:45:22 am
Thanks for helping
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ja
6/7/2017 12:47:05 pm
nice
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Chitra
17/9/2017 03:21:20 am
Thank u it was very helpful 😉😀
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