Age Problems Tricks and Shortcuts | Complete Chapter | Equation Making | IBPS RRB SBI 2024 | Kaushik

Introduction

This tutorial provides a comprehensive guide on solving age-related problems in mathematics, specifically tailored for bank exams like IBPS and SBI. Utilizing shortcuts and tricks covered in the video by Career Definer, this guide will help you master age problems efficiently.

Step 1: Understanding Basic Concepts of Ages

• Definition: Age problems typically involve relationships between different ages at specific times.
• Key Points:
  • Identify the current ages of individuals involved.
  • Establish the time frame for the problem (past, present, or future).
• Practical Tip: Always define variables for the ages of individuals to simplify calculations.

Step 2: Applying Ratios

• Concept: Ratios can help simplify age comparisons.
• Steps:
  1. Determine the ratio of ages given in the problem.
  2. Use this ratio to express the ages in terms of a variable, such as x.
  3. Set up equations based on the relationships described.
• Example: If A is twice as old as B, express A's age as 2x and B's age as x.

Step 3: Using the Cross Product Method

• Explanation: This method is useful for age problems involving ratios.
• Steps:
  1. Set up the ratio equation based on the ages.
  2. Cross-multiply to simplify the equation.
  3. Solve for the unknown.
• Common Pitfall: Ensure the ratios are set up correctly before cross-multiplying.

Step 4: Employing the Option Checking Technique

• Purpose: Quickly eliminate incorrect answers in multiple-choice scenarios.
• Steps:
  1. Plug each option into the original age equation.
  2. Verify if the option satisfies all conditions of the problem.
• Practical Tip: This technique saves time during exams, especially when options are close in value.

Step 5: Applying Averages in Age Problems

• Concept: Sometimes, the average age can be a critical piece of information.
• Steps:
  1. Calculate the average age based on the total ages given.
  2. Use the average to find individual ages if the total number of individuals is known.
• Example: If the average age of three people is 30, their total age is 30 * 3 = 90.

Step 6: Understanding the Zero Concept in Ages

• Explanation: This concept highlights situations where one person's age might be zero.
• Steps:
  1. Recognize when the problem allows for one individual to be born at that moment.
  2. Adjust other ages accordingly.
• Common Pitfall: Avoid overlooking this possibility, as it can lead to incorrect assumptions.

Step 7: Equation Making in Age Problems

• Steps:
  1. Define variables for each individual's age.
  2. Write equations based on the information provided.
  3. Solve the system of equations to find the ages.
• Example:
  • Let A's age be x.
  • If B is 5 years younger than A, then B's age is x - 5.

Step 8: Solving High-Level Mains Questions

• Approach: Tackle more complex problems using the techniques learned.
• Steps:
  1. Read the problem carefully to identify all relationships.
  2. Determine if ratios, averages, or equations are most appropriate.
  3. Apply the best method and solve step by step.

Conclusion

By mastering these steps and techniques, you can effectively solve age-related problems in mathematical contexts. Practice various problems to familiarize yourself with each method. For further preparation, consider exploring additional resources such as practice tests or online courses related to bank exam preparation.