What's the best way to master Three Generation Age Problems quickly?

Master Three Generation Age Problems by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Three Generation

Three Generation problems involve age relationships across three generations: grandparents, parents, and children. These comprehensive problems test your ability to handle multiple relationships across time.

10Worksheets

200+Practice Questions

AdvancedDifficulty

4-5 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks

Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Three Generation

Prerequisites

All age problem basics Linear equations Systematic variable assignment

Why This Matters: Three Generation problems appear in 2-3 questions in advanced exams like CAT and banking mains. They test complex reasoning skills.

How to Solve Three Generation Problems

Step 1: Identify all three generations (G1, G2, G3)

Step 2: Assign variables to each person or use generation variables

Step 3: Write all given relationships as equations

Step 4: Express all ages in terms of the youngest person when possible

Step 5: Use the sum of ages or additional conditions to solve

Step 6: Verify all relationships and generation gaps

Pro Strategy: Start with the youngest generation and add generation gaps to express older generations' ages.

Example Problem

Example: Grandfather is 60 years older than grandson. Father is 30 years older than son. The sum of all three ages is 120 years. Find each age. Solution: Step 1: Let grandson = x, father = x + 30, grandfather = x + 60 Step 2: Sum: x + (x+30) + (x+60) = 3x + 90 = 120 Step 3: 3x = 30 → x = 10 Step 4: Grandson = 10, Father = 40, Grandfather = 70 years Answer: Grandfather 70, Father 40, Grandson 10 years

Pro Tips & Tricks

Generation gap between G1 and G2 ≈ 25-35 years
Generation gap between G2 and G3 ≈ 25-35 years
G1 is approximately 50-70 years older than G3
Express all ages in terms of G3 (youngest)
Check biological plausibility of all ages
Draw a family tree to avoid confusion

Shortcut Methods to Solve Faster

If G3 = x, G2 = x + d1, G1 = x + d1 + d2

Sum = 3x + 2d1 + d2 (for three persons, one per generation)

Average age ≈ (G1 + G2 + G3)/3

Common Mistakes to Avoid

Incorrect generation gaps (too small or too large)

Missing that grandparents are parents of parents

Not verifying that all ages are positive and realistic

Forgetting that age differences remain constant

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Three Generation. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.

Worksheet 1 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 2 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 3 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 4 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 5 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 6 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 7 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 8 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 9 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 10 Advanced Advanced level - Challenge yourself with complex problems