Question

Three positive numbers p, q and r satisfy q+r/p=p+r/q=p+q/r=k then what is the value of k?

Answer 1

Answer:

2

Step-by-step explanation:

see attachment

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Answer 2

Concept:

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.

Given:

Three positive numbers p, q and r satisfy q+r/p=p+r/q=p+q/r=k

Find:

Find K

Solution:

q+r/p=p+r/q=p+q/r=k

Using eq I

q+r/p=k

⇒q+r=pk

Using eq II

⇒p+r=qk

Using eq III

⇒q+p=rk

Adding all the equations:

we get,

2(p+q+r)=k(p+q+r)

⇒k=2

Therefore the value of k=2

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