Question

If A:B = 3 :4 , B : C = 6 :7 , find : i) A:B:C ii) A:C.​

Answer 1

Answer:

1) 18:24:28 , 2) 18:28

Step-by-step explanation:

1) A/B = 3/4 ⇒ A = 3B/4

B/C = 6/7 ⇒ C = 7B/6

A:B:C = 3B/4 : B : 7B/6

A:B:C = 3/4 : 1 : 7/6

Taking the LCM we get,

A:B:C = 18/24 : 24/24 : 28/24 = 18: 24 : 28

A:B:C = 18 : 24 : 28

2) A/B = 3/4

B = 4A/3

B/C = 4A/3 × 1/C = 6/7

A/C = (3×6)/(4×7) = 18/28

A:C = 18:28

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