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If  a: b = 2 : 3 and b : c = 7 : 8, find a : c.
Question

If  a: b = 2 : 3 and b : c = 7 : 8, find a : c.

A.

12 : 7

B.

7 : 12

C.

4 : 7

D.

7 : 2

Correct option is B

Given:
a:b = 2:3
b:c = 7:8
Formula Used:
Ratio concepts used
Solution:
If a:b = 2 :3
b :c = 7 :8
We equate ratio of B
a : b = (2:3)×\times​ 7
a : b =14: 21
b : c = (7:8 ) ×\times​3
b :c = 21: 24
a:b:c =14:21:24
a:c = 14:24 = 7:12

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