Question
Download Solution PDFu : v = 4 : 7 आणि v : w = 9 : 7. जर u = 72 असेल, तर w चे मूल्य किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे :
u : v = 4 : 7 आणि v : w = 9 : 7
वापरलेली संकल्पना : या प्रकारच्या प्रश्नात खालील सूत्रे वापरून उत्तर मिळवता येते.
गणना :
u : v = 4 : 7 आणि v : w = 9 : 7
दोन्ही प्रकरणांमध्ये गुणोत्तर v समान करणे
आपल्याला पहिल्या गुणोत्तराला 9 ने आणि दुसऱ्या गुणोत्तराला 7 ने गुणावे लागेल.
u : v = 9 x 4 : 9 x 7 = 36 : 63 ----(i)
v : w = 9 x 7 : 7 x 7 = 63 : 49 ----(ii)
समीकरण (i) आणि (ii), दोन्ही प्रकरणांमध्ये v गुणोत्तर समान आहे हे आपण पाहू शकतो
तर, आपल्याकडे असलेली गुणोत्तरे समान करून,
u ∶ v ∶ w = 36 ∶ 63 ∶ 49
⇒ u ∶ w = 36 ∶ 49
जेव्हा u = 72,
⇒ w = 49 × 72/36 = 98
∴ w चे मूल्य 98 आहे.
Last updated on Jun 6, 2025
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