Question
Download Solution PDFतीन संख्या x ≤ y ≤ z ज्या एकमेकांच्या सह-प्राइम आहेत अशा आहेत की पहिल्या दोन संख्यांचा गुणाकार 143 आहे आणि शेवटच्या दोन संख्यांचा गुणाकार 195 आहे. तीन संख्यांची बेरीज ______ आहे.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिले:
पहिल्या दोन संख्यांचे उत्पादन = 143
शेवटच्या दोन संख्यांचे उत्पादन = 195
वापरलेली संकल्पना:
संख्या सह-प्राइम असतात जेव्हा त्यांचा एकमेव सामान्य घटक 1 असतो.
HCF = 1
गणना:
संख्या a, b, आणि c असू द्या
⇒ x × y = 143, y × z = 195
या दोन उत्पादनांमध्ये y समान आहे.
143 आणि 195 = y = 13 चा HCF
⇒ a = 143/13 = 11
⇒ b = 195/13 = 15
∴ तीन सह-मूळ संख्या 11, 13 आणि 15 आहेत.
बेरीज = 11 + 13 + 15 = 39
उत्तर 39 आहे.
Last updated on Jul 11, 2025
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