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