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Question 11 : If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2 : 1, then which one of the following is a possible value of (a + b + c) ?

- 201
- 205
- 207
- 210

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Given that a, b, c are three positive integers.

a and b are in the ratio 3 : 4 while b and c are in the ratio 2 : 1.

Therefore, 3n + 4n + 2n = 9n.

We have to find the possible value of (a + b + c) and it should be a multiple of 9.

Hence we can check out with the given options as it should be a multiple of 9.

9n = 207 is the only possible value of (a + b + c).

The question is **"If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2 : 1, then which one of the following is a possible value of (a + b + c) ?" **

Choice C is the correct answer

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