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Question
If A : B = 2 : 5 and A : C = 3 : 4, find: A : B : C.
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Solution
To compare 3 ratios, the consequent of the first ratio and the antecedent of the 2nd ratio must be made equal.
Given that A : B = 2 : 5 and A : C = 3 : 4
Interchanging the first ratio, we have,
B : A = 5 : 2 and A : C = 3 : 4
L.C.M of 2 and 3 is 6
`=>` B : A = 5 × 3 : 2 × 3 and A : C = 3 × 2 : 4 × 2
`=>` B : A = 15 : 6 and A : C = 6 : 8
`=>` B : A : C = 15 : 6 : 8
`=>` A : B : C = 6 : 15 : 8
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