Target Exam

CUET

Subject

General Aptitude Test

Chapter

General Ability

Topic

Age Problems

Question:

The present age of a father is 4 years more than double the age of his son. After 10 years, the father's age is 30 years more than his son. Then the present age of father is:

Options:

26 years

28 years

56 years

60 years

Correct Answer:

56 years

Explanation:

The correct answer is Option (3) → 56 years

Step 1: Let the ages be

  • Let the present age of the son = x years
  • Present age of the father = 2x + 4 years (given)

Step 2: After 10 years

  • Son’s age = x + 10
  • Father’s age = 2x + 4 + 10 = 2x + 14

Given: father’s age after 10 years = son’s age + 30

2x + 14 = (x + 10) + 30

2x + 14 = x + 40

2x - x = 40 – 14

x = 26

Step 3: Present age of father

Father’s age = 2x + 4 = 2(26) + 4 = 52 + 4 = 56

Answer: 56 years