Question
Download Solution PDFदो संख्याएँ 5 ∶ 7 के अनुपात में हैं। यदि प्रत्येक में 6 जोड़ दिया जाए, तो अनुपात 3 ∶ 4 हो जाता है। संख्याएँ ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
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दो संख्याओं का अनुपात = 5 : 7
जब प्रत्येक में 6 जोड़ा जाता है, तो नया अनुपात = 3 : 4 होता है
गणना:
माना संख्याएँ 5x और 7x हैं।
प्रश्न के अनुसार,
⇒ \(\frac{5x+6}{7x+6}=\frac{3}{4}\)
⇒ 4(5x + 6) = 3(7x + 6)
⇒ 20x + 24 = 21x + 18
⇒ 21x – 20x = 24 – 18
⇒ x = 6
पहली संख्या = 5x = 5 × 6 = 30
दूसरी संख्या = 7x = 7 × 6 = 42
अतः दो संख्याएँ 30 और 42 हैं।
Last updated on Jun 13, 2025
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