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If 1a:1b:1c=2:3:5\frac{1}{a}:\frac{1}{b}:\frac{1}{c} = 2:3:5a1​:b1​:c1​=2:3:5​, then a:b:c is equal to:
Question

If 1a:1b:1c=2:3:5\frac{1}{a}:\frac{1}{b}:\frac{1}{c} = 2:3:5​, then a:b:c is equal to:

A.

2:4:5

B.

6:10:15

C.

15:10:6

D.

15:10:12

Correct option is C

Given:

1a:1b:1c=2:3:5\frac{1}{a}:\frac{1}{b}:\frac{1}{c} = 2:3:5​​

Formula Used:

Ratio and Proportions

Solution:

If 1a:1b:1c=2:3:5\frac{1}{a}:\frac{1}{b}:\frac{1}{c} = 2:3:5​ 

Then a:b:c=12:13:15a : b:c = \frac{1}{2}:\frac{1}{3}:\frac{1}{5}​​

LCM of (2,3,5) = 30

a : b:c =12×30:13×30:15×30 \frac{1}{2}\times 30:\frac{1}{3} \times 30 :\frac{1}{5} \times 30​​

a : b:c = 15:10:6

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