Arthemetic Operations

Logical Resoning (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

The present age of a father is three times that of his elder son. Four years hence, the age of the father will be four times that of

his younger son. If the difference between the present

ages of the elder and younger child is 6 years, what is the present age of the father?

This questions was previously asked in

SSC CGL 16th August 2021 Shift-2

36 years

32 years

38 years

42 years

- Let's denote the present age of the father as F, the elder son's age as E, and the younger son's age as Y.

- The father's age is three times the elder son's: \( F = 3E \).

- Four years from now, the father's age will be four times the younger son's: \( F + 4 = 4(Y + 4) \).

- The difference between the elder and younger son's age is 6 years: \( E = Y + 6 \).

- Using the equations, we can substitute and solve:

- From \( F = 3E \) and using \( E = Y + 6 \), we substitute to get \( F = 3(Y + 6) = 3Y + 18 \).

- Substituting into the equation \( F + 4 = 4(Y + 4) \), we have \( 3Y + 18 + 4 = 4Y + 16 \).

- Simplifying, we get \( 22 = Y + 16 \), meaning \( Y = 6 \).

- Substituting Y back, \( E = 12 \) (since \( E = Y + 6 \)), and so \( F = 36 \) (since \( F = 3E = 36 \)).

- Answer: Option 1, 36 years, is the correct answer.