If (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?Options4 : 3 : 63 : 2 : 43 : 6 : 43 : 4 : 2

Question

If (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?Options4 : 3 : 63 : 2 : 43 : 6 : 43 : 4 : 2
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Solution 1

The problem can be solved in the following steps:

Step 1: Given that (a + b) : (b + c) : (c + a) = 7 : 6 : 5. This means that a + b = 7x, b + c = 6x, and c + a = 5x for some common ratio x.

Step 2: Adding these three equations, we get 2(a + b + c) = 18x. We know that a + b + c = 27, so substitutin 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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