Ages
Age problems are a common topic in quantitative aptitude where relationships between present, past, and future ages are used to form equations. These questions are frequently asked in banking, SSC, CMAT, and placement exams.
Fundamental Principles
Present Age
The current age of a person.
Past Age
Age of a person some years ago (Present Age − Years).
Future Age
Age of a person after some years (Present Age + Years).
Essential Formulation Tips
- Assume present age as variable (x) and form equations.
- Use relationships given in the question carefully.
- Solve step-by-step instead of guessing.
- Check final answer logically.
Shortcut Execution Techniques
- If ratio of ages is given → use kx, ky format.
- For past/future → subtract/add years directly.
- Difference of ages remains constant over time.
- Convert word problems into algebraic equations.
Contextual Inquiries (FAQs)
Q: What is the most important concept in age problems?
A:
Q: How to solve age questions quickly?
A:
Example Breakdown: Basic Age Example
Basic concept.Present age of father = 40.
After 5 years → 40 + 5 = 45.
Final Answer: 45 years.
Example Breakdown: Equation-Based Example
Simple equation question.Let son's age = 10.
Father's age = 2 × 10 = 20.
Final Answer: 20 years.
Example Breakdown: Word Problem Example
Most repeated exam pattern.Let ages = 3x and 2x.
After 5 years → (3x+5)/(2x+5) = 4/3.
Cross multiply → 3(3x+5) = 4(2x+5).
9x + 15 = 8x + 20.
x = 5.
A = 15, B = 10.
Final Answer: 15 years and 10 years.
Ages Practice Questions
Solve important age problems for banking, SSC, CMAT, and placement exams.
Q1. A is 5 years older than B. If B is 10 years old, find A's age.
Q2. The ratio of ages of A and B is 2:3. If A is 20, find B.
Q3. A father is 3 times as old as his son. If son is 8 years old, find father's age.