The average age of 35 students of a class is 23 years. When 10 new students are admitted, the average is decreased by 0.5 years. The average age of new students is:Options20.2520.520.7520
Question
The average age of 35 students of a class is 23 years. When 10 new students are admitted, the average is decreased by 0.5 years. The average age of new students is:Options20.2520.520.7520
Solution
Sure, let's solve this step by step:
Step 1: The total age of 35 students is 35 * 23 = 805 years.
Step 2: When 10 new students are admitted, the total number of students becomes 35 + 10 = 45.
Step 3: The new average age is 23 - 0.5 = 22.5 years.
Step 4: So, the total age of all 45 students is 45 * 22.5 = 1012.5 years.
Step 5: The total age of the 10 new students is 1012.5 (total age of all students) - 805 (total age of the original 35 students) = 207.5 years.
Step 6: Therefore, the average age of the new students is 207.5 / 10 = 20.75 years.
So, the average age of the new students is 20.75 years.
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