दो संख्याओं का योग उनके अंतर का 5 गुना है। यदि छोटी संख्या 24 है, तो बड़ी संख्या ज्ञात कीजिए।

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  1. 30
  2. 32
  3. 36
  4. 48

Answer (Detailed Solution Below)

Option 3 : 36
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Detailed Solution

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दिया गया है:

छोटी संख्या = 24

गणना:

मान लीजिए बड़ी संख्या = a

संख्याओं का अंतर = a - 24

प्रश्न के अनुसार;

(a + 24) = 5(a - 24)

⇒ a + 24 = 5a - 120

⇒ 144 = 4a 

⇒ a = 36

∴ बड़ी संख्या 36 है। 

Alternate Method
हिट एंड ट्रायल विधि (अनुमान विधि) द्वारा

विकल्प 1: (24 + 30) ≠ 5(30 - 24)

विकल्प 2: (24 + 32) ≠ 5(32 - 24)

विकल्प 3: (24 + 36) = 5(36 - 24) = 60 

विकल्प 4: (24 + 48) ≠ 5(48 - 24)

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