Question
Download Solution PDF5-అంకెల సంఖ్య 676xy 3, 7 మరియు 11 ద్వారా భాగించబడితే, (3x - 5y) విలువ ఎంత?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడినవి:
676xy 3, 7 & 11 ద్వారా భాగించబడుతుంది
కాన్సెప్ట్:
676xy 3, 7 &11 ద్వారా భాగించబడినప్పుడు, అది 3, 7 &11 యొక్క క.సా.గు ద్వారా కూడా భాగించబడుతుంది.
విభాజ్యము= భాజకము × భాగహారలబ్ధము + శేషం
లెక్కింపు:
క.సా.గు (3, 7, 11) = 231
అతిపెద్ద 5-అంకెల సంఖ్య 67699 తీసుకొని దానిని 231తో భాగించండి.
∵ 67699 = 231 × 293 + 16
⇒ 67699 = 67683 + 16
⇒ 67699 - 16 = 67683 (పూర్తిగా 231తో భాగించబడుతుంది)
∴ 67683 = 676xy (ఇక్కడ x = 8, y = 3)
(3x - 5y) = 3 × 8 - 5 × 3
⇒ 24 - 15 = 9
∴ అవసరమైన ఫలితం = 9
Last updated on Jun 11, 2025
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