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If A : B = 4 : 6 and B : C = 7 : 11, then A : B : C is:
Question

If A : B = 4 : 6 and B : C = 7 : 11, then A : B : C is:

A.

14 : 21 : 33

B.

4 : 12 : 33

C.

4 : 31 : 21

D.

11 : 23 : 40

Correct option is A

Given
A : B = 4 : 6
B : C = 7 : 11
Formula Used
Make the common term (B) equal in both ratios to combine them.
Solution
Simplify A : B first:
A : B = 2 : 3
The term B is 3 in the first ratio and 7 in the second ratio.
Take the LCM of 3 and 7, which is 21.
Multiply the first ratio by 7:
A : B = 14 : 21
Multiply the second ratio by 3:
B : C = 21 : 33
Combining the ratios, we get:
A : B : C = 14 : 21 : 33
Final Answer
So the correct answer is (a)

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