दो संख्याओं का म.स.प. और ल.स.प. 24 और 168 है और संख्याएँ 1 ∶ 7 के अनुपात में हैं। दोनों संख्याओं में से सबसे बड़ी संख्या ज्ञात कीजिए?

  1. 168
  2. 144
  3. 108
  4. 72

Answer (Detailed Solution Below)

Option 1 : 168
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Detailed Solution

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दिया है:

म.स.प. = 24

ल.स.प. = 168

संख्याओं का अनुपात = 1 ∶ 7.

सूत्र:

संख्याओं का गुणनफल = ल.स.प. × म.स.प.

गणना:

माना कि संख्याएं x और 7x हैं।

x × 7x = 24 × 168

⇒ x2 = 24 × 24

⇒ x = 24

∴ बड़ी संख्या = 7x = 24 × 7 = 168

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