Question
Download Solution PDFजर 5-अंकी संख्या 676xy ला 3, 7 आणि 11 ने भाग जात असेल, तर (3x - 5y) चे मूल्य किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
676xy हा 3, 7 आणि 11 ने भाग जातो
संकल्पना:
जेव्हा 676xy ला 3, 7 आणि 11 ने भाग जातो, तेव्हा तो 3, 7 आणि 11 च्या लसाविने देखील भाग जातो.
नफा = भाजक × भागफल + बाकी
गणना:
(3, 7, 11) चा लसावि = 231
सर्वात मोठी 5-अंकी संख्या 67699 घेऊन त्याला 231 ने भागा.
∵ 67699 = 231 × 293 + 16
⇒ 67699 = 67683 + 16
⇒ 67699 - 16 = 67683 (231 ने पूर्णतः विभाज्य)
∴ 67683 = 676xy (जेथे x = 8, y = 3)
(3x - 5y) = 3 × 8 - 5 × 3
⇒ 24 - 15 = 9
∴ आवश्यक निकाल = 9
Last updated on Jul 9, 2025
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