Multiple Choice Questions

The ratio of the present ages of A and B is 6 5 Four years ago this ratio was 5 4 What will be the r...........

Quantitative Aptitude (MTS) Problems based on Ages

The ratio of the present ages of A and B is 6:5. Four years ago, this ratio was 5:4. What will be the ratio of the ages of A and B

after ten years?

This questions was previously asked in

SSC MTS 7th October 2021 Shift-2

11:15

17:15

15:11

15:17

- Step 1: Define variables. Let the present age of A be 6x and B be 5x due to the given ratio of 6:5.

- Step 2: Use past age ratio. Four years ago, the ages were (6x - 4) and (5x - 4) with a ratio of 5:4.

- Step 3: Set up the equation. (6x - 4) / (5x - 4) = 5 / 4. Solve this equation to find x.

- Step 4: Solve for x. Through solving, x = 16.

- Step 5: Calculate current ages. A's current age = 96, B's current age = 80.

- Step 6: Future ages. After ten years, A's age = 106, B's age = 90.

- Step 7: Calculate future ratio. Future age ratio = 106/90 = 53/45 = 17:15.

Option 2: 17:15

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