Question
Download Solution PDFदोन संख्या 5 ∶ 7 च्या गुणोत्तरात आहेत. प्रत्येकामध्ये 6 जोडल्यास गुणोत्तर 3 ∶ 4 होईल. संख्या शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
दोन संख्यांचे गुणोत्तर = 5 : 7
प्रत्येकामध्ये 6 जोडल्यावर नवीन गुणोत्तर = 3 : 4
गणना:
संख्या 5x आणि 7x आहे असे समजा
प्रश्नानुसार,
⇒
⇒ 4(5x + 6) = 3(7x + 6)
⇒ 20x + 24 = 21x + 18
⇒ 21x – 20x = 24 – 18
⇒ x = 6
पहिली संख्या = 5x = 5 × 6 = 30
दुसरी संख्या = 7x = 7 × 6 = 42
म्हणून, दोन संख्या 30 आणि 42 आहेत.
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