Question
Download Solution PDFSum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the fraction be x.
Reciprocal = 1/x
Then,
x + 3/x = 73/20
⇒ x2 + 3 = 73x/20
⇒ 20x2 – 73x + 60 = 0
⇒ x = {- (-73) + √ (5329 – 4800)}/40 or x = {- (-73) - √ (5329 – 4800)}/40
⇒ x = 96/40 = 12/5 or x = 50/40 = 5/4
∴ the required fraction is 5/4 or 12/5.Last updated on Jul 14, 2025
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