Question
Download Solution PDFयदि A : B = 7 : 8 और B : C = 7 : 9, तो A : B : C का अनुपात क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
A : B = 7 : 8
B : C = 7 : 9
संकल्पना:
यदि N को a : b में विभाजित किया जाता है, तब
पहला भाग = N × a/(a + b)
दूसरा भाग = N × b/(a + b)
गणना:
A/B = 7/8 ----(i)
साथ ही B/C = 7/9 ----(ii)
समीकरण (i) और (ii) का गुणा करने पर, हमें प्राप्त होता है,
⇒ (A/B) × (B/C) = (7/8) × (7/9)
⇒ A/C = 49/72
∵ A : B = 49 : 56
∴ A : B : C = 49 : 56 : 72
Alternate Method
A : B = 7 : 8 = 49 : 56
B : C = 7 : 9 = 56 : 72
⇒ A : B : C = 49 : 56 : 72
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