Question

If A:B= 4:9 and A:C= 2:3. Find : (I) B:C (ii) A:B:C​

Answer 1

Answer:

Given A : B = 4 : 9 and A : C = 2 : 3 In above ratios corresponding values of A must be equal in order to find B : C A : C = 2 : 3 = 2×2 : 3×2 = 4 : 6 Now A : B = 4 : 9 and A : C = 4 : 6 ⇒ B : C = 9 : 6 ∴ B : C= 3 : 2 2) Now we have A : B = 4: 9 B : C = 3 : 2 We know A: B : C = A×B : B×B : B×C ⇒ A: B : C = 12 : 27 : 18 ∴ A: B : C = 4 : 9 : 6

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