Ages Formula
Ages formulas and a topic-wise mock test for quantitative aptitude placement exams like TCS NQT, Infosys, and Wipro. Revise, then practice.
Key Ages Formulas
Age Problems - Basic Concepts
Age problems involve finding ages based on given relationships. The key: age difference between two people remains constant throughout their lives.
- Age Difference: Remains constant over time
- Future Age: After 'n' years = Present age + n
- Past Age: 'n' years ago = Present age - n
- Age Ratio: Changes over time — (x+n):(y+n) ≠ x:y
- Sum of Ages: Total = x + y, Average = (x+y)/2
Age Problem Formulas
Fundamental formulas for solving age-related problems systematically.
- If A=x, B=y → Difference = |x-y| (constant forever)
- After n years: A=x+n, B=y+n
- n years ago: A=x-n, B=y-n
- Ratio after n years: (x+n):(y+n)
Practical Examples with Solutions
Step-by-step solutions to common age problem types.
- Example: Sum of father and son = 50, father is 4× son → son=x, 4x+x=50 → x=10, father=40
- Type 1: Age difference + ratio given → set up two equations
- Type 2: Sum + ratio given → substitution method
- Type 3: Future/past conditions → translate words to equations
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