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Three positive numbers are in the ratio...

Three positive numbers are in the ratio `1 : 3 : 5`. The sum of their squares is 875. Find the sum of the numbers. Choose the correct answer from the following options:

A

45

B

90

C

75

D

150

Text Solution

Verified by Experts

Given that the ratio of the three numbers is ` 1 : 3 : 5`.
Let the numbers be x, 3x and 5x
And also given,
` x^(2) + (3x)^(2)+(5x)^(2)= 875`
` rArr 35x^(2) = 875`
` rArr x^(2) = 25`
` rArr = x = 5 ` (the numbers are positive)
` :. ` The required sum = x+3x + 5x= 9x = 9(5) = 45.
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Knowledge Check

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