Question
Download Solution PDFदोन संख्यांचा लसावि 120 आहे आणि त्या संख्या 3 ∶ 8 या गुणोत्तरात आहेत. तर त्या संख्यांची बेरीज किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
दोन संख्यांचा लसावि 120 आहे आणि त्या संख्या 3 ∶ 8 या गुणोत्तरात आहेत.
वापरलेली संकल्पना:
1. मसावि ही सर्वात मोठी संख्या किंवा संख्यांच्या गटातील प्रत्येक सदस्याचा अवयव असलेली संख्या आहे.
2. लसावि ही दोन किंवा अधिक संख्यांचा लघुत्तम सामाईक विभाजक आहे.
गणना:
समजा संख्या अनुक्रमे 3x आणि 8x आहेत.
संख्यांची बेरीज = 3x + 8x = 11x
प्रश्नानुसार,
लसावि (3x, 8x) = 120
⇒ x × 3 × 8 = 120
⇒ x = 120/24
⇒ x = 5
⇒ 11x = 55
∴ संख्यांची बेरीज 55 असेल.
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