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Mathematics

If 1x:1y:1z=2:3:5\dfrac{1}{x} : \dfrac{1}{y} : \dfrac{1}{z} = 2 : 3 : 5, then x : y : z is equal to:

  1. 2 : 3 : 5

  2. 5 : 3 : 2

  3. 15 : 10 : 6

  4. 6 : 10 : 15

Ratio Proportion

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Answer

Given,

1x:1y:1z=2:3:5\dfrac{1}{x} : \dfrac{1}{y} : \dfrac{1}{z} = 2 : 3 : 5

Thus,

x : y : z = 12:13:15\dfrac{1}{2} : \dfrac{1}{3} : \dfrac{1}{5}

Since, L.C.M of 2, 3, 5 is 30.

x:y:z=12×30:13×30:15×30x : y : z = \dfrac{1}{2} \times 30 : \dfrac{1}{3} \times 30 : \dfrac{1}{5} \times 30

= 15 : 10 : 6.

Hence, option 3 is the correct option.

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