दो संख्याओं के बीच का अंतर 5 है। यदि छोटी संख्या में से 25 घटा दिया जाए और बड़ी संख्या में 20 जोड़ दिया जाए, तब अनुपात 1 : 2 हो जाता है। बड़ी संख्या क्या है?

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  1. 80
  2. 90
  3. 85
  4. 75

Answer (Detailed Solution Below)

Option 1 : 80
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दिया गया है:

दो संख्याओं के बीच का अंतर = 5

यदि छोटी संख्या में से 25 घटाया जाता है और बड़ी संख्या में 20 जोड़ा जाता है, तब अनुपात = 1 : 2

गणना:

माना बड़ी संख्या और छोटी संख्या क्रमशः x और (x - 5) हैं

अब, प्रश्न के अनुसार,

(x – – 25) : (x + 20) = 1 : 2

⇒ (x –  30)/(x + 20) = 1/2

⇒ 2x – 60= x + 20

⇒ x = 80

∴ बड़ी संख्या 80 है। 

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