Problems based on Ages

Quantitative Aptitude (CGL)

Title

45:30

8 of 24 completed

5 of 15 completed

38 of 100 completed

8 of 20 completed

Indian Economy - Understanding the basics of Indian economic system

Gautam’s present age is equal to 20% of his father's age 15 years ago, and Gaurav's (brother of Gautam) present age is 60% of

his father’s age 10 years ago. If the sum of Gautam’s present age and Gaurav’s present age is 31, then find their father’s

present age.

This questions was previously asked in

SSC CGL 17th August 2021 Shift-2

40 years

50 years

55 years

45 years

- Let \( F \) be the father's present age. Gautam's present age is 20% of his father's age 15 years ago.

- So, Gautam's present age is \( 0.2 \times (F - 15) \).

- Gaurav's present age is 60% of his father's age 10 years ago.

- So, Gaurav's present age is \( 0.6 \times (F - 10) \).

- Given that the sum of Gautam's and Gaurav's current ages is 31:

0.2 \times (F - 15) + 0.6 \times (F - 10) = 31

- Simplifying, \( 0.2F - 3 + 0.6F - 6 = 31 \)

- Combine terms: \( 0.8F - 9 = 31 \)

- Solve for \( F \): \( 0.8F = 40 \), so \( F = 50 \).

- Therefore, the father's current age is \( \textbf{50} \) years.