Question

if A:B = 3:5 and B: C =7:9. Find the value of A: B: C . ​

Answer 1

A/b=2/3 b=3a/2

B/c=5/7 3a/2×1/c=5/7

a/c=2×5/3×7

a is to c =10:21

C=7b/5

A :b: c=2b:b:7b/5

=2/3:1:7/5

=2×5/3×5:1×15/15×1:7×3/5×3

=10/15:15/15:21/15

=10:15:21

Your answer is 10:15:21

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Answer 2

Answer:

Here A:B = 3:5

and. B:C = 7:9

This implies A/B = 3/5 and B/C = 7/9

On cross multiplication we get, 5A = 3B

and 9B = 7C

From the equation we can find any of the constant like,

A from the first equation can be written as 3B/5

Also, AC= B^2

3B/5 (C) = B^2

3C/5 = 1

Implies, 3C = 5

C = 5/3

By similar solving we get A:B:C = 21:35:45