Problems on Ages
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Quantitative Aptitude - Problems on Ages
Solve age comparison and change-over-time problems with age algebra and progressive changes.
1. Basic Approach
Let present ages be variables (e.g., age of A = a, B = b).
Write equations for each statement with time-shifts: "x years ago" → a-x, "y years hence" → b+y.
2. Common Formats
- Sum/difference now or in the future/past.
- Ratio forms involving time shifts.
3. Quick Tips
- Set up equations based on "years ago" or "hence" correctly.
- Use substitution to reduce variables when two equations are given.
4. Mistakes to Avoid
- Mixing past and future incorrectly.
- Ignoring ratio context when time changes apply.
5. Revision Checklist
- Practice translating English to age equations accurately.
- Use elimination or substitution strategies quickly.
Summary: Convert descriptions into simple time-shift equations, solve for variables swiftly, and verify with original statements.
Topics
- Number System
- H.C.F. & L.C.M.
- Decimal Fractions
- Simplification
- Square Roots & Cube Roots
- Average
- Problems on Ages
- Percentage
- Operations on Numbers
- Profit & Loss
- Ratio & Proportion
- Time & Work
- Time & Distance
- Problems on Trains
- Simple Interest
- Compound Interest
- Area
- Volume & Surface Areas
- Mensuration
- Algebra
- Work & Wages
- Geometry (Lines, Angles, Triangles, Polygons)
- Data Interpretation
- Arithmetic Operations