The ratio of a father rsquo s age to his son rsquo s age is 3 2 The product of the numbers represent...........

Quantitative Aptitude (CPO) Problems based on Ages

The ratio of a father’s age to his son’s age is 3 : 2 The product of the numbers representing their age is 486. The ratio of their

ages after 5 years will be:

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 3

32 : 24

32 : 21

32 : 22

32 : 23

- Given the ratio of the father's age to the son's age is 3:2.

- Let father's age be 3x and son's age be 2x.

- The product of their ages is given as 486. So, \(3x \times 2x = 486\).

- This simplifies to \(6x^2 = 486\).

- Divide both sides by 6 to get \(x^2 = 81\).

- Taking the square root, \(x = 9\).

- So, father's age is \(3x = 27\), and son's age is \(2x = 18\).

- After 5 years, father's age will be \(27 + 5 = 32\) and son's age will be \(18 + 5 = 23\).

- Thus, the ratio of their ages after 5 years is 32:23.

- Option 1: 32:24 ? Incorrect

- Option 2: 32:21 ? Incorrect

- Option 3: 32:22 ? Incorrect

- Option 4: 32:23 ? Correct

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