Question

Ifz/x-2y=2z+x/2y=2x/z then find x+y+z/z​

Answer 1

Answer:

37/12

Step-by-step explanation:

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Answer 2

Given :  

z/(x - 2y)  = (2z + x)/(2y)  = 2x/z

To Find : Value of (x + y + z)/z

Solution:

z/(x - 2y)  = (2z + x)/(2y)  = 2x/z

a/b = c/d  = e/f

=>a/b = c/d  = e/f = (a + c +d)/(b + e + f)

=>z/(x - 2y)  = (2z + x)/(2y)  = 2x/z   = (z + 2z + x + 2x) / (x - 2y + 2y + z)

=> z/(x - 2y)  = (2z + x)/(2y)  = 2x/z   = (3z + 3x)/(x + z)

=> z/(x - 2y)  = (2z + x)/(2y)  = 2x/z   = 3

z/(x - 2y)   = 3

=>   z = 3x - 6y

(2z + x)/(2y)  = 3

=>    2z + x  = 6y

2x/z   = 3

=>    2x = 3z  => x = 3z/2

2z + x  = 6y

=> 2z  + 3z/2 = 6y

=> 7z  = 12y

=> y = 7z/12

(x + y + z)/z  = ( 3z/2  + 7z/12  + z)/z

= (18  + 7  + 12) /12

= 37/12

(x + y + z)/z = 37/12

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