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There are three numbers such that twice ...

There are three numbers such that twice the first number is equal to thrice the second number and four times the third number. Find the ratio of the first , the second and the third numbers.
Choose the correct answer from the following options:

A

` 2 : 3 : 4`

B

` 6 : 4 : 3 `

C

` 4 : 3 : 4 `

D

` 3 : 4 : 3`

Text Solution

Verified by Experts

The correct Answer is:
B
Let the three numbers be x , y and z .
Given , 2x = 3y = 4z
Let 2x = 3y = 4z = k
` rArr x = k/2, y = k/3 and z = k/4`
` rArr x : y : z = k/2 : k/3 : k/4`
` = 6 : 4 : 3 `.
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