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If 3x = 4y = 12z, then z is equal to 
  • a)
    xy
  • b)
    x + y
  • c)
    xy/x+y
  • d)
    4x +3y
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 3x = 4y = 12z, then z is equal toa)xyb)x + yc)xy/x+yd)4x +3yCorrect...
3x = 4y = 12z
Taking log of all 3 we get
xln3 = yln4 = zln12 = k
z = k/ln12 = k / ln(3*4) = k/ln3 + ln4 = k / (k/x +k/y) = xy / (x+y)
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Most Upvoted Answer
If 3x = 4y = 12z, then z is equal toa)xyb)x + yc)xy/x+yd)4x +3yCorrect...
3x = 4y = 12z
Taking log of all 3 we get
xln3 = yln4 = zln12 = k
z = k/ln12 = k / ln(3*4) = k/ln3 + ln4 = k / (k/x +k/y) = xy / (x+y)
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Community Answer
If 3x = 4y = 12z, then z is equal toa)xyb)x + yc)xy/x+yd)4x +3yCorrect...
Given Equation:
3x = 4y = 12z

Explanation:
To find the value of z in terms of x and y, we need to solve the given equation step by step.

Step 1: Simplify the equation
From the given equation, we have:
3x = 4y = 12z
This can be rewritten as:
3x = 12z
4y = 12z

Step 2: Express z in terms of x and y
From the above equations, we can rewrite them as:
z = 3x/12
z = 4y/12
Simplifying further:
z = x/4
z = y/3
Therefore, z = x/4 = y/3

Step 3: Combining the expressions
Since z = x/4 = y/3, we can rewrite this as:
z = (x * y) / (4 * 3)
z = xy/12

Final Answer:
Therefore, z = xy/12, which corresponds to option 'C' - xy/x+y.
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