राम आणि रमेश यांच्या सध्याच्या वयाचे गुणोत्तर 3 : 5 आहे. 7 वर्षानंतर त्यांच्या वयाचे गुणोत्तर 4 : 5 होईल. रमेशचे सध्याचे वय शोधा.

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 5 वर्षे
  2. 15 वर्षे
  3. 7 वर्षे
  4. 12 वर्षे

Answer (Detailed Solution Below)

Option 3 : 7 वर्षे
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दिलेल्याप्रमाणे:

राम आणि रमेश यांच्या सध्याच्या वयोगटातील गुणोत्तर 3 : 5 आहे

7 वर्षांनंतर त्यांच्या वयाचे गुणोत्तर 4 : 5 असेल.

गणना:

राम आणि रमेश यांचे सध्याचे वय 3x आणि 5x असू द्या

प्रश्नानुसार,

\(\frac{3x +7}{5x + 7} = \frac{4}{5}\)

⇒ 15x + 35 = 20x + 28

⇒ 35 - 28 = 20x - 15x

⇒ 5x = 7

⇒ x = 7/5

तर, रमेशचे सध्याचे वय = 5 × 7/5

⇒ 7 वर्षे

रमेशचे सध्याचे वय 7 वर्षे आहे.

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