The ratio of two numbers A and B is 5 6 If 8 is subtracted from each of them then the ratio becomes ...........

Quantitative Aptitude (MTS) Ratio, Proportion

The ratio of two numbers A and B is 5:6. If 8 is subtracted from each of them, then the ratio becomes 4:5. What is the sum of A

and B?

This questions was previously asked in

SSC MTS 8th October 2021 Shift-3

121

110

- We are given that A and B have a ratio of 5:6.

- When 8 is subtracted from both, the new ratio becomes 4:5.

- Let's denote A as 5x and B as 6x.

- The equation is (5x - 8)/(6x - 8) = 4/5.

- Solving, we get 25x - 40 = 24x - 32.

- Simplifying gives x = 8.

- Substituting back: A = 5x = 40 and B = 6x = 48.

- Sum of A and B = 40 + 48 = 88.

?? The correct answer is Option 3: 88.

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