Sum

If A: B = 3: 4 and B: C = 6: 7, find A: B: C

find:

(i) A: B: C (ii) A: C

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#### Solution

(i) A: B: C

`A/B = 3/4 = 3/4 xx 3/3 = 9/12`

`B/C = 6/7 = 6/7 xx 2/2 = 12/14`

A : B : C = 9 : 12 : 14

(ii) A: C

`A/B = 3/4`

`B/C = 6/7`

`:. A/C = (A/B)/(C/B) = (3/4)/(7/6) = = 9/14`

∴ A : C = 9 : 14

Concept: Concept of Ratio

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