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in Mathematics by (97.2k points)
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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`

1 Answer

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Best answer
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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