Question
Download Solution PDFIf A : B = 7 : 8 and B : C = 7 : 9, then what is the ratio of A : B : C ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A : B = 7 : 8
B : C = 7 : 9
Concept:
If N is divided into a : b, then
First part = N × a/(a + b)
Second part = N × b/(a + b)
Calculation:
A/B = 7/8 ----(i)
Also B/C = 7/9 ----(ii)
Multiply equation (i) and (ii) we get,
⇒ (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
Last updated on Jun 12, 2025
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