Question
Download Solution PDFतीन संख्याएँ 2 ∶ 3 ∶ 5 के अनुपात में हैं और उनका लघुत्तम समापवर्त्य 90 है। उनका महत्तम समापवर्तक ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
संख्याएँ 2 : 3 : 5 के अनुपात में हैं।
संख्याओं का लघुत्तम समापवर्त्य = 90
गणना:
मान लीजिए संख्याएँ 2x, 3x और 5x हैं।
(2x, 3x और 5x) का लघुत्तम समापवर्त्य = 2 × 3 × 5 × (x)
⇒ 30x
प्रश्न के अनुसार, 30x = 90
⇒ x = 90/30
⇒ x = 3
इसलिए, संख्याएँ 6, 9, 15 हैं।
अब,
6 = 2 × 3
9 = 32
15 = 3 × 5
इसलिए, महत्तम समापवर्तक = 3
∴ तीनों संख्याओं का महत्तम समापवर्तक 3 है।
Last updated on Jul 7, 2025
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