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Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?

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Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?
1). $\frac{3}{4}$
2). $\frac{4}{3}$
3). $\frac{4}{7}$
4). $\frac{7}{4}$


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2 answers

0 vote
Answered by on | Votes 0 |
I think option 1 is the right answer

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1 vote
Answered by on | Votes 1 |
Let the fraction be 1/x
then, a/c question
4/x + 6x = 11
4 + 6x^2 = 11x
6x^2 - 11x + 4 = 0
(x-8/6) (x-3/6) = 0
so, x =4/3 or 1/2
 
fraction =1/x = 3/4 or 2
 
Hence Option (1) is correct.
Accepted Answer