What's the best way to master Sum After Years quickly?

Master Sum After Years by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Sum After Years

Sum After Years problems give the sum of ages of two or more persons at present and ask for the sum after a certain number of years, or vice versa. These problems test your understanding of how age sums change over time.

10Worksheets

200+Practice Questions

BeginnerDifficulty

1-2 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 Sum After Years

Prerequisites

Basic arithmetic Understanding of age progression Simple addition and multiplication

Why This Matters: Sum After Years appears frequently in banking and SSC exams. You can expect 1-2 questions in prelims and 2-3 in mains exams.

How to Solve Sum After Years Problems

Step 1: Identify the present sum of all ages from given data

Step 2: Determine the number of years to add (n)

Step 3: Calculate the total increase: number_of_persons × n

Step 4: Add the total increase to the present sum to get future sum

Step 5: For past sums, subtract total decrease instead

Step 6: Answer the specific question asked

Pro Strategy: Remember that when time passes, EVERY person's age increases equally. The sum increases by (number of persons × years passed).

Example Problem

Example: The sum of ages of A and B is 40 years. What will be the sum of their ages after 5 years? Solution: Step 1: Present sum = 40 years Step 2: Number of persons = 2, years to add = 5 Step 3: Total increase = 2 × 5 = 10 years Step 4: Future sum = 40 + 10 = 50 years Answer: 50 years Alternate: After 5 years, both A and B will be 5 years older, so sum increases by 10 years.

Pro Tips & Tricks

Future sum = Present sum + (n × number_of_persons)
Past sum = Present sum - (n × number_of_persons)
For average age, average after n years = present average + n
Average age n years ago = present average - n
The age gap between any two persons remains constant over time
When persons are added or removed, adjust the formula accordingly

Shortcut Methods to Solve Faster

Sum after n years = Present sum + n × (total people)

Sum n years ago = Present sum - n × (total people)

Average after n years = Present average + n

Common Mistakes to Avoid

Adding only n years instead of n × number_of_persons

Forgetting that all persons age equally over time

Confusing sum with average when applying the formula

Using subtraction when addition is needed (and vice versa)

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Sum After Years. 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