The ratio of A and B is 2 3 and B is 8 more than A If a ce1tain number k is added to each of A and B...........

Quantitative Aptitude (MTS) Ratio, Proportion

The ratio of A and B is 2 : 3, and B is 8 more than A If a ce1tain number k is added to each of A and B, then the ratio becomes 7 :

9, The value of k is:

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SSC MTS 6th October 2021 Shift-3

- The given ratio of A to B is 2:3. This means if A = 2x, then B = 3x.

- It is mentioned that B is 8 more than A. So, 3x = 2x + 8, which gives x = 8.

- Therefore, A = 16 and B = 24.

- A number k is added to both A and B, making the new ratio 7:9.

- So, the equation (16 + k)/(24 + k) = 7/9 must be solved.

- Simplifying gives: 9(16 + k) = 7(24 + k).

- Expanding: 144 + 9k = 168 + 7k.

- Solving for k: 2k = 24, so k = 12.

- Option 3 is correct: k = 12

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