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# If a : B = 2 : 5 and a : C = 3 : 4, Find A : B : C - Mathematics

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#### Question

If A : B = 2 : 5 and A : C = 3 : 4, find A : B : C

#### Solution

To compare 3 ratios, the consquent of first ratio and the antecedent of 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 x 3 :  2 x 3  and A : C = 3 x 2 :  4 x 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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#### APPEARS IN

Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(A) | Q: 18.2 | Page no. 88
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If a : B = 2 : 5 and a : C = 3 : 4, Find A : B : C Concept: Ratios.
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