Question
Download Solution PDFजर दोन संख्यांचे गुणोत्तर 5 : 3 असेल आणि त्यांच्या LCM आणि HCF चा गुणाकार 135 असेल, तर त्यांच्या LCM आणि HCF च्या व्युत्क्रमांची बेरीज किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिले आहे:
दोन संख्यांचे गुणोत्तर = 5:3
LCM आणि HCF चा गुणाकार = 135
वापरलेले सूत्र:
LCM x HCF = संख्यांचा गुणाकार
गणना:
संख्या = 5x आणि 3x
संख्यांचा गुणाकार = 5x x 3x = 15x2
⇒ LCM x HCF = 15x2 = 135
⇒ x2 = 135/15
⇒ x2 = 9
⇒ x = 3
संख्या = 5x = 15, आणि 3x = 9
15 आणि 9 चा LCM = 45
15 आणि 9 चा HCF = 3
LCM आणि HCF च्या व्युत्क्रमांची बेरीज = (1/LCM) + (1/HCF)
⇒ बेरीज = (1/45) + (1/3)
⇒ बेरीज = 16/45
∴ योग्य उत्तर पर्याय (3) आहे.
Last updated on Jul 19, 2025
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