Multiple Choice Questions

Three years ago the ratio of the age of father to that of his son was 8 3 After 4 years their ages w...........

Quantitative Aptitude (CGL) Problems based on Ages

Three years ago, the ratio of the age of father to that of his son was 8 : 3. After 4 years, their ages will be in the ratio 11 : 5. What

is the present age (in years) of the father.

This questions was previously asked in

SSC CGL 18th April 2022 Shift-3

- Let's denote the father's age three years ago as $8 x$ and the son's age three years ago as $3 x$ .

- After three years, the father's age will be $8 x + 3 + 4 = 8 x + 7$ and the son's age will be $3 x + 3 + 4 = 3 x + 7$ .

- We are told that after these four more years, the age ratio becomes 11:5.

- Setting up the equation, $\frac{8 x + 7}{3 x + 7} = \frac{11}{5}$ .

- Solving gives $5 (8 x + 7) = 11 (3 x + 7)$ .

- This simplifies to $40 x + 35 = 33 x + 77$ .

- Simplifying further, $7 x = 42$ gives $x = 6$ .

- Thus, the present age of the father is $8 x + 3$ , which equals $51$ .

- Option 1: 52 - Incorrect, slightly above the calculated age.

- Option 2: 51 - Correct. This matches our calculation.

- Option 3: 48 - Incorrect, below the calculated age.

- Option 4: 55 - Incorrect, above the calculated age.

- The correct answer is Option 2: 51.

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