Question

Find 13. Find A:B:C if (a) A:B = 2:3 and B: C = 3:5 (b) A: B = 3:5 and B: C = 7:9 llavis​

Answer 1

Answer:

(a) A:B:C = 2:3:5

(b) A:B:C = 21:35:15

Step-by-step explanation:

(a)

A:B = 2:3

=> A/B = 2/3

=> 3A = 2B

=> B = 3A/2

Say, A = x.

So, B = 3x/2 (*)

Now, B:C = 3:5

=> B = 3C/5

=> 3x/2 = 3C/5 [From (*)]

=> C = 5x/2

So, A:B:C = x:3x/2:5x/2 = 1 : 3/2 : 5/2 = 2:3:5

(b)

A:B = 3:5

=> A/B = 3/5

=> 5A = 3B

=> B = 5A/3

Say, A = x.

So, B = 5x/3 (#)

Now, B:C = 7:9

=> B = 7C/9

=> 5x/3 = 7C/9 [From (#)]

=> C = 15x/7

So, A:B:C = x : 5x/3 : 15x/7 = 1 : 5/3 : 5/7 = 21 : 35 : 15