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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.