If \(\frac{1}{x}\) ∶ \(\frac{1}{y}\) ∶ \(\frac{1}{z}\) = 2 : 3 : 5, then x : y : z = ?
Answer & explanation
Correct answer: option 2
\(\frac{1}{x}\) ∶ \(\frac{1}{y}\) ∶ \(\frac{1}{z}\) = 2 : 3 : 5
⇒ x : y : z = \(\frac{1}{2}\) ∶ \(\frac{1}{3}\) ∶ \(\frac{1}{5}\)
⇒ x : y : z = \(\frac{1}{2}30\) ∶ \(\frac{1}{3}30\) ∶ \(\frac{1}{5}30\)
(Multiplying with LCM)
⇒ x : y : z = 15 : 10 : 6