दोन संख्या 5 ∶ 7 च्या गुणोत्तरात आहेत. प्रत्येकामध्ये 6 जोडल्यास गुणोत्तर 3 ∶ 4 होईल. संख्या शोधा.

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)
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  1. 30, 42
  2. 55, 88
  3. 10, 16
  4. 25, 40

Answer (Detailed Solution Below)

Option 1 : 30, 42
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दिलेल्याप्रमाणे:

दोन संख्यांचे गुणोत्तर = 5 : 7

प्रत्येकामध्ये 6 जोडल्यावर नवीन गुणोत्तर = 3 : 4

गणना:

संख्या 5x आणि 7x आहे असे समजा

प्रश्नानुसार,

⇒ 

⇒ 4(5x + 6) = 3(7x + 6)

⇒ 20x + 24 = 21x + 18

⇒ 21x – 20x = 24 – 18

⇒ x = 6

पहिली संख्या = 5x = 5 × 6 = 30

दुसरी संख्या = 7x = 7 × 6 = 42

म्हणून, दोन संख्या 30 आणि 42 आहेत.

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