“Problems on Ages” is one of the most commonly tested topics in Quantitative Aptitude for SSC, Banking, RRB, and various other competitive exams. This chapter includes questions that are logical in nature and test your ability to form and solve linear equations based on age-related conditions. ty to solve questions based on present, past and future ages, age differences and age ratios. This blog explains the meaning, key concepts and common question patterns, along with a free PDF of 100 practice questions and a live quiz.
Download Problems on Ages Questions with Answers PDF
Candidates can download the Problems on Ages Questions PDF from the link given below. It contains 100 exam-relevant practice questions with correct answers for SSC, Railways, Banking, Insurance, Defence and other competitive exams.
Attempt Problems on Ages Live Quiz
Solve the Problems on Ages questions given below and check your performance through the live quiz. The practice set covers present, past and future ages, age ratios, age differences, average ages and other important question patterns commonly asked in competitive exams.
Q1. The ratio of the present ages of Amit and Ravi is 2 : 3. After 3 years, the ratio of their ages will be 13 : 18. What is the present age of Ravi?
Q2. The ratio of the present ages of Mohan and Riya is 3 : 4. After 5 years, the ratio of their ages will be 23 : 29. What is the present age of Mohan?
Q3. The ratio of the present ages of Neha and Suman is 3 : 5. After 7 years, the ratio of their ages will be 2 : 3. What is the present age of Suman?
Q4. The ratio of the present ages of Karan and Meena is 4 : 5. After 9 years, the ratio of their ages will be 41 : 49. What is the present age of Karan?
Q5. The ratio of the present ages of Anil and Pooja is 4 : 7. After 3 years, the ratio of their ages will be 13 : 22. What is the present age of Pooja?
Q6. The ratio of the present ages of Vikas and Seema is 5 : 7. After 5 years, the ratio of their ages will be 3 : 4. What is the present age of Vikas?
Q7. The ratio of the present ages of Arun and Kavita is 5 : 8. After 7 years, the ratio of their ages will be 37 : 55. What is the present age of Kavita?
Q8. The ratio of the present ages of Rahul and Nisha is 6 : 7. After 9 years, the ratio of their ages will be 51 : 58. What is the present age of Rahul?
Q9. The ratio of the present ages of Deepak and Reena is 7 : 9. After 3 years, the ratio of their ages will be 59 : 75. What is the present age of Reena?
Q10. The ratio of the present ages of Ajay and Geeta is 7 : 10. After 5 years, the ratio of their ages will be 68 : 95. What is the present age of Ajay?
Q11. Four years ago, the ages of Riya and Pooja were in the ratio 12 : 19. Their present age ratio is 2 : 3. Find the present age of Pooja.
Q12. Eight years ago, the ages of Neha and Vikas were in the ratio 3 : 5. Their present age ratio is 2 : 3. Find the sum of their present ages.
Q13. Five years ago, the ages of Suman and Seema were in the ratio 2 : 3. Their present age ratio is 7 : 10. Find the present age of Seema.
Q14. Six years ago, the ages of Karan and Arun were in the ratio 5 : 8. Their present age ratio is 2 : 3. Find the sum of their present ages.
Q15. Eight years ago, the ages of Meena and Kavita were in the ratio 2 : 3. Their present age ratio is 5 : 7. Find the present age of Kavita.
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What is Problems on Ages in Quantitative Aptitude?
Problems on Ages involve questions where the age of one or more individuals is compared at different time frames past, present, or future. The task is usually to form equations and solve them to find the required age(s).
Why it appears in exams:
Because it’s easy to moderate in difficulty, it helps test a candidate’s understanding of algebra, equation formation, and logical reasoning.
Skills required:
- Equation formation
- Logical reasoning
- Understanding time relationships (past/future)
- Basic algebra
Why is Problems on Ages Important in Competitive Exams?
This topic consistently appears across banking, SSC, railway, and state-level exams. It is known for being high-scoring and less time-consuming if practiced well.
Problems on Ages Quantitative Aptitude Short Notes
Some of the commonly used terms in this type of question are as follows:
| Term | Details |
| Present Age | Current age of the person |
| Age After n Years | Present age + n |
| Age Before n Years | Present age – n |
| Age Ratio | Comparison of two or more ages in ratio form |
| Equation Setup | Usually involves forming linear equations |
| Key Phrase – “Twice the age” | Multiply one person’s age by 2 |
| Key Phrase – “Age difference” | Constant across all time frames |
Concepts used in Problems on Ages-Based Questions
The concepts used in this type of question are as follows:
| Concept | Details |
| Age x Years Ago | Present Age – x |
| Age x Years Later | Present Age + x |
| Constant Age Difference | Difference remains the same over time |
| Ratio Conversion | Use Present Age = Variable to convert ratios into numbers |
| Linear Equations | Most questions reduce to one/two variable equations |
| Sum of Ages Logic | Helps in forming two equations in combined age problems |
What are the Types of Problems on Ages Questions in Maths Section?
This topic appears in multiple formats.
- Direct Questions: Simple age now/then problems.
- Comparative Age Problems: Age of one person in relation to another.
- Ratio-based Age Problems: Ages given in ratio at different time frames.
- Age Puzzle Type: Usually in SSC, with multi-person and time gap logic.
- Mixed Concept: Combining ages with other arithmetic operations.
Problems on Ages Formulas for Quantitative Aptitude
While there are no fixed formulas, the following logic patterns can be used to solve this type of question:
- Present Age = x → Future Age = x + n; Past Age = x – n
- If A is m years older than B: A = B + m
- If A is n times as old as B: A = n × B
- Age difference remains constant: (A + x) – (B + x) = A – B
- Sum of Ages: Use total sum and individual equations for solving.
Problems on Ages Tricks for SSC CGL and Other Exams
Use these quick tricks to simplify your solving process:
- Assign present ages as variables (x, y) and stick to them.
- Translate sentences into equations step-by-step.
- Age differences remain constant – use this to eliminate options.
- Ratios can be re-written using variables (e.g., 3x and 4x).
- Start from the given future/past conditions—not always from the present.
- Use options when possible – plug in and verify.
- Avoid decimals or fractions in initial steps, simplify equations.
- Underline keywords: ‘twice,’ ‘after,’ ‘before,’ ‘younger than,’ etc.
FAQs
These questions involve forming and solving equations based on age relationships at different time points.
Yes, they are among the easiest and most scoring topics in Quantitative Aptitude.
Avoid mixing up past/future references and assigning wrong variables.
There’s no fixed formula, but using Present Age ± Time = Future/Past Age is key.
Practice different types (direct, ratio, puzzles) and maintain equation accuracy.
I’m Mahima Khurana, a writer with a strong passion for creating meaningful, learner-focused content especially in the field of competitive exam preparation. From authoring books and developing thousands of practice questions to crafting articles and study material, I specialize in transforming complex exam-related topics into clear, engaging, and accessible content. I have first hand experience of 5+ months in SSC Exams. Writing, for me, is not just a skill but a way to support and guide aspirants through their preparation journey one well-written explanation at a time.
