Question
Download Solution PDFदो संख्याओं का अनुपात 3 : 4 है और उनका लघुत्तम समापवर्त्य 480 है। उनका महत्तम समापवर्तक ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दो संख्याओं का अनुपात 3 : 4 है।
उनका लघुत्तम समापवर्त्य 480 है।
प्रयुक्त अवधारणा:
दो संख्याओं का गुणनफल = महत्तम समापवर्तक × लघुत्तम समापवर्त्य
गणना:
माना संख्याएं 3x और 4x हैं।
यहाँ x दोनों संख्याओं का महत्तम समापवर्तक है।
अब,
3x × 4x = 480 × x
⇒ 12x2 = 480x
⇒ x = 40
अत: संख्याओं का महत्तम समापवर्तक = 40
∴ उनका महत्तम समापवर्तक 40 है।
Last updated on Jul 5, 2025
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