If x : y = 3 : 5, then value of \(\rm \frac{2x+7y}{4x+9y}\) is:

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Allahabad High Court Group D (Mains) Exam Official Paper (Held On: 02 Apr, 2023)
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  1. \(\frac{41}{47}\)
  2. \(\frac{29}{41}\)
  3. \(\frac{41}{57}\)
  4. \(\frac{41}{62}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{41}{57}\)
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Detailed Solution

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Given: x : y = 3 : 5
Let

x = 3k

y = 5k

So,

\(\rm \frac{2x+7y}{4x+9y}\) 

\(\rm \frac{2(3k)+7(5k)}{4(3k)+9(5k)}\)

\(\rm \frac{6k+35k}{12k+45k}\) 

\(\rm \frac{41k}{57k}\)

\(\frac{41}{57}\)

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