Question
Download Solution PDFWhat value of 'y' will satisfy the following equation?
\(\frac{3y}{1 + \frac{1}{1 + \frac{y}{1-y}}} = 2\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\frac{3y}{1 + \frac{1}{1 + \frac{y}{1-y}}} = 2\)
Calculation:
⇒ \(\frac{3y}{1 + \frac{1}{1 + \frac{y}{1-y}}} = 2\)
⇒ \(\frac{3y}{1 + \frac{1}{\frac{1 - y + y}{1-y}}} = 2\)
⇒ \(\frac{3y}{1 + 1 - y} = 2\)
⇒ 3y/(2 - y) = 2
⇒ 3y = 4 - 2y
⇒ 5y = 4
⇒ y = 4/5
∴ The correct answer is 4/5.
Last updated on Jun 11, 2025
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