If (a + b) : (b + c) : (c + a) = 6 : 7 :

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and a + b + c = 14 then the value of c is :

Options:

Correct Answer:

Explanation:

(a + b) : (b + c) : (c + a) = 6 : 7 : 8

2(a + b + c) = 21x

a + b + c = 10.5x = 14

x = $\frac{4}{3}$

Now,

⇒ (a + b + c) - (a + b) = 14 - 8

⇒ c = 6