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

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प्रश्न

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

  1. A : B : C
  2. A : C
योग
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उत्तर

i. A : B : C

`A/B = 3/4`

= `3/4 xx 3/4`

= `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)`

= `3/4 xx 6/7`

= `9/14`

∴ A : C = 9 : 14

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