Problems on Ages

Rumman Ansari Software Engineer 2024-07-28 09:12:09 127 Share
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Problems on Ages Formulas

The problems on ages generally involve relationships between the ages of different people at different points in time.

Let the present age of person A be $x$ years and person B be $y$ years.

If after $n$ years, person A will be $x + n$ years old and person B will be $y + n$ years old.

Future Age of A = x + n

Future Age of B = y + n

If $n$ years ago, person A was $x - n$ years old and person B was $y - n$ years old.

Past Age of A = x - n

Past Age of B = y - n

The difference in ages between two people remains constant over time.

Age Difference = | x - y |

If the sum of the ages of two people is given, let the sum be $S$ .

x + y = S

If there are $n$ people with ages $A_{1}, A_{2}, A_{3}, \dots, A_{n}$ , the average age is given by:

Average Age = \frac{A_{1} + A_{2} + A_{3} + \dots + A_{n}}{n}

If the present age of A is 30 years and B is 20 years, the age difference is:

Age Difference = | 30 - 20 | = 10 years

If the sum of the ages of A and B is 50 years, and A is 30 years old, then B's age is:

x + y = 50 ⟹ 30 + y = 50 ⟹ y = 50 - 30 = 20 years

If there are 3 people with ages 25, 30, and 35 years, the average age is:

Average Age = \frac{25 + 30 + 35}{3} = \frac{90}{3} = 30 years

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