Question
Download Solution PDFदो संख्याओं का योग 18 है। और उनका HCF और LCM क्रमशः 3 और 54 है। उनके व्युत्क्रमों का योग क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
माना कि a और b दो संख्याएँ हैं।
हम जानते हैं (HCF) × (LCM) = दो संख्याओं का गुणनफल
HCF और LCM को क्रमशः 3 और 54 रखने पर हमें a × b = 3 × 54 प्राप्त होता है
साथ ही, a + b = 18
तो, हमारे पास है:
1/a + 1/b
⇒ (a + b)/ab
⇒ 18/(3 × 54)
= 1/9
अतः, आवश्यक मान 1/9 है।
Last updated on Jun 13, 2025
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