Problems on Ages Formulas – Aptitude Questions and Answers

In quantitative aptitude tests, problems on ages often revolve around relationships between the ages of individuals at different time intervals. These problems can be systematically approached using a set of basic algebraic formulas. At the core, they involve:

Important Formulas on “Problems on Ages” :

1. If the current age is x, then age n years ago = x−n.
2. If the current age is x, then age n years later = x+n.
3. If the current age is x, then age n years ago = x – n.
4. The ages in a ratio a : b will be ax and bx.
5. If the current age is x, then 1 /n of the age is x/n.

Types of Problems and Techniques:

1. Linear Equations with One Variable:

• Example: A is twice as old as B. In 5 years, A will be 40. How old is B?
• Technique: Let B’s age be x. A’s age is 2x. In 5 years, A’s age = 2x+5-40. Solve for x.

2. Linear Equations with Two Variables:

• Example: A is twice as old as B. The sum of their ages is 36. Find their ages.
• Technique: Let B’s age be x. A’s age is 2x. Equation: x+2x-36.

3. Age Differences:

• Example: The difference in age between A and B is 5 years. A is older. If the total of their ages is 45, find their ages.
• Technique: Let A’s age be x. B’s age is x−5. Equation: x+(x−5)-45.

4. Future and Past Ages:

• Example: 5 years ago, A was twice as old as B. A is now 40. Find B’s current age.
• Technique: 5 years ago, A was 35 and B was x. Equation: 35-2x.

5. Ratios:

• Example: The ratio of A’s age to B’s age is 3:4. In 6 years, the ratio will be 4:5. Find their current ages.
• Technique: Let A’s age be 3x and B’s age be 4x. In 6 years, A’s age will be 3x+6 and B’s age will be 4x+6. Use the given ratio to form an equation.

Must Check:

• Problems on Ages – Aptitude Questions and Answers
• Problem on Ages Quiz

Conclusion

Problems on ages can initially seem tricky, but with practice and a systematic approach, they become manageable. Remember to read each problem carefully, translate the given information into equations, and solve systematically. With time and practice, you’ll find these problems becoming second nature!