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Question

If A:B=3:4,B:C=5:7, find A:B:C

Solution
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A:B=3:4

Let k be the common factor between A and B.
so, A =3k and B =4k.

and, B:C=5:7

Let x be the common factor between B and C.
so, B =5x and C =7x

4k=5x [Both are values of B]

x=4k5

A:B:C=3k:4k:7x

=3k:4k:7(4k5)

=15k:20k:28k5

=15:20:28 [on multiplying5kto each]

Hence A:B:C=15:20:28

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