Question
Download Solution PDFIf \(\rm \frac{1}{2x}=\frac{1}{3y}=\frac{1}{4z}\) then x : y : z is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: \(\rm \frac{1}{2x}=\frac{1}{3y}=\frac{1}{4z}\)
then,
\(\frac{1}{2x} = \frac{1}{3y}\)
⇒ 3y = 2x
⇒ x/y = 3/2
⇒ x : y = 3 : 2
same as,
\(\frac{1}{3y} = \frac{1}{4z}\)
⇒ 3y = 4z
⇒ y/z = 4/3
⇒ y : z = 4 : 3
Now,
x : y = 3 : 2 and y = 4 : 3
making y equal in both ratios,
x : y = 6 : 4 and y = 4 : 3
So,
⇒ x : y : z = 6 : 4 : 3
So, the correct answer is option 4.
Last updated on Apr 21, 2025
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