Simple Difference
Simple Difference problems present a direct relationship where one person's age is given and the age difference between two persons is stated. These problems require basic arithmetic to find the other person's age.
What You'll Learn
Introduction to Simple Difference
Simple Difference problems present a direct relationship where one person's age is given and the age difference between two persons is stated. These problems require basic arithmetic to find the other person's age.
Prerequisites
How to Solve Simple Difference Problems
Step 1: Identify who is older and who is younger from the problem statement
Step 2: Note the given age of one person
Step 3: Note the age difference between the two persons
Step 4: If the unknown person is older, add the difference to the known age
Step 5: If the unknown person is younger, subtract the difference from the known age
Step 6: Verify that the calculated age is positive and reasonable
Step 7: Answer the specific question asked
Example Problem
Example: A is 8 years older than B. If B is 25 years old, how old is A? Solution: Step 1: A is older than B Step 2: B's age = 25 years Step 3: Age difference = 8 years (A is older) Step 4: A's age = B's age + difference = 25 + 8 = 33 years Answer: A is 33 years old Example 2: A is 5 years younger than B. If A is 20 years old, find B's age. Solution: B is older, so B = A + 5 = 20 + 5 = 25 years
Pro Tips & Tricks
- If 'older than' or 'more than' is mentioned, add the difference
- If 'younger than', 'less than', or 'junior' is mentioned, subtract the difference
- The older person always has the larger numerical age
- Age difference remains constant over time (but not used in this basic type)
- Check if ages make biological sense (parent usually 20+ years older than child)
- Write the relationship as a simple equation: A = B ± d
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Simple Difference. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Simple Difference is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Simple Difference?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: