Select the correct answerIf (a + b) : (b + c) : (c + a) = 7 : 6 : 5 and a + b + c = 27, then what will be the value of 1/a : 1/b : 1/c?

Question

Select the correct answerIf (a + b) : (b + c) : (c + a) = 7 : 6 : 5 and a + b + c = 27, then what will be the value of 1/a : 1/b : 1/c?
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Solution 1

The given ratios can be written as:

a + b = 7k (1) b + c = 6k (2) c + a = 5k (3)

Adding equations (1), (2) and (3), we get:

2(a + b + c) = 18k Given that a + b + c = 27, we can substitute this into the equation to get:

2(27) = 18k 54 = 18k k = 54/18 = 3

Substituting k = 3 into equations (1), (2 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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