5 च्या सलग तीन विभाज्यांची बेरीज 285 आहे. त्यातील सर्वात मोठी संख्या शोधा.

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

Answer (Detailed Solution Below)

Option 2 : 100
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दिलेल्याप्रमाणे:

5 च्या सलग तीन विभाज्यांची बेरीज 285 आहे

गणना:

तीन सलग संख्या x, x + 1 आणि x + 2 आहेत

तर, 5 चे सलग विभाज्य 5x, 5(x + 1) आणि 5(x + 2) आहेत

5 च्या सलग तीन विभाज्यांची बेरीज 285 आहे

∴ 5x + 5x + 5 + 5x + 10 = 285

⇒ 15x = 270

⇒ x = 18

आता, सर्वात मोठी संख्या = 5(x + 2) = 5 × 20 = 100

∴ सर्वात मोठी संख्या 100 आहे
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