Average age of students of an adult school is 40 yr. 120 new students whose average age is 32 yr joined the school. As a result the average age is decreased by 4 yr. The number of students of the school after joining of the new student is:
Explanation
1. Identify the given values:
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Initial average age =40 years
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Number of new students =120
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Average age of new students =32 years
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New average age =40−4=36 years
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Total students after joining =n+120
2. Set up the equation based on the total age:
The sum of ages before plus the sum of ages of new students equals the total sum of ages after joining.
3. Solve for n:
4. Find the total number of students after joining:
The question asks for the number of students after the new students joined.
Total students=120+120=240
Correct Option: (d) 240