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Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction?

Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction? Correct Answer 7/2

Given:

Sum of four times a fraction and 7 times its reciprocal is 16

Calculation:

Let the fraction be y

According to the problem statement

⇒ 4y + 7/y = 16

⇒ 4y2 – 16y + 7 = 0

⇒ (y – 1/2)(y – 7/2) = 0

⇒ y = ½ or y = 7/2

the required fraction is 7/2 which satisfies the above given condition

∴ the value of required fraction is 7/2

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