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If (5x - 2y) ∶ (x - 2y) = 9 ∶ 17, then find the value of \(\rm \frac{9x}{13y}\).

This question was previously asked in
SSC GD Constable (2022) Official Paper (Held On : 10 Jan 2023 Shift 1)
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  1. \(\frac{72}{421}\)
  2. \(\frac{151}{1731}\)
  3. \(\frac{36}{247}\)
  4. \(\frac{144}{1001}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{36}{247}\)
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Detailed Solution

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Given:

(5x - 2y) ∶ (x - 2y) = 9 ∶ 17

Calculation:

The given ratio can be written as:

(5x - 2y)/(x - 2y) = 9/17

17 × (5x - 2y) = 9 × (x - 2y)

85x - 34y = 9x - 18y

76x = 16y

x/y = 16/76

x/y = 4/19

9 × (4/19)/13 = 36/247

So, 9x/13y = 36/247.

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Latest SSC GD Constable Updates

Last updated on Jun 11, 2025

-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.

-> The UPSC Prelims Result 2025 and UPSC IFS Result 2025 has been released @upsc.gov.in

-> The SSC GD Merit List is expected to be released soon by the end of April 2025.

-> Previously SSC GD Vacancy was increased for Constable(GD) in CAPFs, SSF, Rifleman (GD) in Assam Rifles and Sepoy in NCB Examination, 2025. 

-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies. 

-> The SSC GD Constable written exam was held on 4th, 5th, 6th, 7th, 10th, 11th, 12th, 13th, 17th, 18th, 19th, 20th, 21st and 25th February 2025. 

-> The selection process includes CBT, PET/PST, Medical Examination, and Document Verification.

-> The candidates who will be appearing for the 2025 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.  

-> UPSC Prelims Result 2025 Date Out soon @https://upsconline.nic.in/

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