दो संख्याओं का योगफल 184 है। यदि एक संख्या का एक-तिहाई दूसरी संख्या के एक-सातवें भाग से 8 अधिक है, तब छोटी संख्या ज्ञात कीजिए।

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HP JBT TET 2013 Official Paper
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  1. 92
  2. 84
  3. 72
  4. 76

Answer (Detailed Solution Below)

Option 3 : 72
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दिया गया है:

दो संख्याओं का योगफल = 184

गणना:

माना कि संख्याएँ x और (184 - x) हैं।

प्रश्न के अनुसार,

x × (1/3) - (184 − x)/7 = 8

⇒ (7x - 552 + 3x)/21 = 8

⇒ 7x - 552 + 3x = 8 × 21

⇒ 10x = 168 + 552

⇒ x = 720/10 = 72

एक संख्या = 72

दूसरी संख्या = 184 − x = 184 - 72 = 112

∴ छोटी संख्या 72 है।

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