Question
Download Solution PDFযদি A : B = 7 : 8 এবং B : C = 7 : 9 হয়, তাহলে A : B : C এর অনুপাত হবে?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
A : B = 7 : 8
B : C = 7 : 9
ধারণা:
যদি N কে a : b তে ভাগ করা হয়, তাহলে
প্রথম অংশ = N × a/(a + b)
দ্বিতীয় অংশ = N × b/(a + b)
গণনা:
A/B = 7/8 ----(i)
এছাড়াও B/C = 7/9 ----(ii)
সমীকরণ (i) এবং (ii) গুণ করে আমরা পাই,
⇒ (A/B) × (B/C) = (7/8) × (7/9)
⇒ A/C = 49/72
∵ A : B = 49 : 56
∴ A : B : C = 49 : 56 : 72
বিকল্প পদ্ধতি:
A : B = 7 : 8 = 49 : 56
B : C = 7 : 9 = 56 : 72
⇒ A : B : C = 49 : 56 : 72
Last updated on Jun 6, 2025
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