Official Class 10 Mathematics Revision Material: CBSE Class 10 Mathematics Problems on Ages Notes Set 12
Access comprehensive revision notes for Problems on Ages using the CBSE Class 10 Mathematics Problems on Ages Notes Set 12. Designed to align with the 2026-27 academic syllabus for Class 10 Mathematics, these concept summaries help students streamline their exam preparation and review complex topics efficiently.
Chapter-wise Concept Summaries: Problems on Ages
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Problems on Ages
Represent the present ages by x and y (or by the ratio terms 3k and 5k). A statement about the past or the future is turned into an equation by subtracting or adding the number of years to every person's age.
Key facts: the difference between two persons' ages is constant; every year each person gets one year older, so the sum of n persons' ages increases by n each year; and an age ratio moves towards 1 as time passes.
Averages in Age Problems
The total age of a group = average age × number of people. If a person joins or leaves, change the total accordingly and recompute the average.
The birthday trick: if someone celebrated his k-th birthday m years ago, his present age is k + m.
Worked Examples
Illustration 1. A father is 4 times as old as his son. After 6 years he will be 3 times as old. Find their present ages.
Answer:
Let the son be x: 4x + 6 = 3(x + 6), so x = 12.
Son = 12 years and father = 48 years.
Illustration 2. The average age of 8 persons is 30 years. A new person joins and the average becomes 31 years. Find the age of the new person.
Answer:
Total after joining = 9 × 31 = 279 and before = 240, so the new person is 39 years old.
Free study material for Mathematics
Problems on Ages Concepts and Summary for Class 10 Mathematics
About Problems on Ages Revision Notes
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You can download the teacher prepared revision notes for CBSE Class 10 Mathematics Problems on Ages Notes Set 12 from StudiesToday.com. These notes are designed as per 2026-27 academic session to help Class 10 students get the best study material for Mathematics.
Yes, our CBSE Class 10 Mathematics Problems on Ages Notes Set 12 include 50% competency-based questions with focus on core logic, keyword definitions, and the practical application of Mathematics principles which is important for getting more marks in 2026 CBSE exams.
Yes, our CBSE Class 10 Mathematics Problems on Ages Notes Set 12 provide a detailed, topic wise breakdown of the chapter. Fundamental definitions, complex numerical formulas and all topics of CBSE syllabus in Class 10 is covered.
These notes for Mathematics are organized into bullet points and easy-to-read charts. By using CBSE Class 10 Mathematics Problems on Ages Notes Set 12, Class 10 students fast revise formulas, key definitions before the exams.
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