5 के तीन क्रमागत गुणजों का योग 285 है। सबसे बड़ी संख्या ज्ञात कीजिए।

  1. 75
  2. 100
  3. 120
  4. 90

Answer (Detailed Solution Below)

Option 2 : 100
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दिया गया है:

5 के तीन क्रमागत गुणजों का योग 285 है। 

गणना:

तीन क्रमागत संख्याएँ x, x + 1 और x + 2 हैं,

इसलिए, 5 के तीन क्रमागत गुणज हैं, 5x, 5(x + 1) और 5(x + 2)

5 के तीन क्रमागत गुणजों का योग 285 है। 

∴ 5x + 5x + 5 + 5x + 10 = 285

⇒ 15x = 270

⇒ x = 18

अब, सबसे बड़ी संख्या = 5(x + 2) = 5 × 20 = 100

∴ सबसे बड़ी संख्या 100 है। 
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