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Consider an office of 45 employees, whose average age is 40 years. 'x' new employees join this office, whose average age is 'y' years. If it is known that x + y = 50, then what can be the maximum possible average age of the all the employees now?
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Consider an office of 45 employees, whose average age is 40 years. 'x'...
To determine the maximum possible average age of all employees in the office after hiring new employees, we can utilize the given data effectively.
Existing Employees' Age Calculation
- The total number of existing employees: 45
- Average age of existing employees: 40 years
- **Total age of existing employees** = 45 * 40 = 1800 years
New Employees' Age Consideration
- Let the new employees be 'x' and their average age be 'y'.
- We know that: **x + y = 50**
- To maximize the average age of all employees, we need to maximize 'y', which can be achieved by minimizing 'x'.
Maximizing Average Age
- If we set 'x' to the smallest possible value, which is 0 (though impractical for hiring), we can calculate the potential average.
- Thus, if **x = 0**, then:
- **y = 50**
- This means if we hypothetically hire no new employees, the average age remains 40 years.
Realistic Scenario with New Employees
- If we want to hire at least one new employee, let's assume **x = 1**:
- This gives us **y = 50 - 1 = 49**.
- Now, total age after hiring becomes:
- **Total age** = 1800 + 49 = 1849 years
- **Total employees** = 45 + 1 = 46
- **New average age** = 1849 / 46 ≈ 40.15 years.
Conclusion
- The maximum average age of all employees can theoretically approach **50 years** as more employees are hired with higher average ages close to 50. However, practically, the maximum average age realistically achievable remains around **40.15 years** when hiring just one new employee at age 49.
Existing Employees' Age Calculation
- The total number of existing employees: 45
- Average age of existing employees: 40 years
- **Total age of existing employees** = 45 * 40 = 1800 years
New Employees' Age Consideration
- Let the new employees be 'x' and their average age be 'y'.
- We know that: **x + y = 50**
- To maximize the average age of all employees, we need to maximize 'y', which can be achieved by minimizing 'x'.
Maximizing Average Age
- If we set 'x' to the smallest possible value, which is 0 (though impractical for hiring), we can calculate the potential average.
- Thus, if **x = 0**, then:
- **y = 50**
- This means if we hypothetically hire no new employees, the average age remains 40 years.
Realistic Scenario with New Employees
- If we want to hire at least one new employee, let's assume **x = 1**:
- This gives us **y = 50 - 1 = 49**.
- Now, total age after hiring becomes:
- **Total age** = 1800 + 49 = 1849 years
- **Total employees** = 45 + 1 = 46
- **New average age** = 1849 / 46 ≈ 40.15 years.
Conclusion
- The maximum average age of all employees can theoretically approach **50 years** as more employees are hired with higher average ages close to 50. However, practically, the maximum average age realistically achievable remains around **40.15 years** when hiring just one new employee at age 49.
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Consider an office of 45 employees, whose average age is 40 years. 'x' new employees join this office, whose average age is 'y' years. If it is known that x + y = 50, then what can be the maximum possible average age of the all the employees now?
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Consider an office of 45 employees, whose average age is 40 years. 'x' new employees join this office, whose average age is 'y' years. If it is known that x + y = 50, then what can be the maximum possible average age of the all the employees now? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Consider an office of 45 employees, whose average age is 40 years. 'x' new employees join this office, whose average age is 'y' years. If it is known that x + y = 50, then what can be the maximum possible average age of the all the employees now? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an office of 45 employees, whose average age is 40 years. 'x' new employees join this office, whose average age is 'y' years. If it is known that x + y = 50, then what can be the maximum possible average age of the all the employees now?.
Consider an office of 45 employees, whose average age is 40 years. 'x' new employees join this office, whose average age is 'y' years. If it is known that x + y = 50, then what can be the maximum possible average age of the all the employees now? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Consider an office of 45 employees, whose average age is 40 years. 'x' new employees join this office, whose average age is 'y' years. If it is known that x + y = 50, then what can be the maximum possible average age of the all the employees now? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an office of 45 employees, whose average age is 40 years. 'x' new employees join this office, whose average age is 'y' years. If it is known that x + y = 50, then what can be the maximum possible average age of the all the employees now?.
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