Sure, let's solve this step by step:

Step 1: Let's denote the original number of students in the class as 'x'. The total age of all the students in the class is then 30x (since the average age is 30).

Step 2: 6 new students join the class, with an average age of 24 years. So, the total age of the new students is 6 * 24 = 144 years.

Step 3: The new average age of the class, after the new students join, is 30.5 years (since the average increased by half a year). The total number of students in the class is now x + 6.

Step 4: We can set up the equation for the new average age: (30x + 144) / (x + 6) = 30.5

Step 5: Solving this equation will give us the original number of students in the class.

Let's solve it:

30x + 144 = 30.5x + 183
0.5x = 144 - 183
0.5x = -39
x = -39 / 0.5
x = -78

However, the number of students cannot be negative. There seems to be a mistake in the problem as it leads to a negative number of students. Please check the problem and try again.

Question

Sure, let's solve this step by step:

Step 1: Let's denote the original number of students in the class as 'x'. The total age of all the students in the class is then 30x (since the average age is 30).

Step 2: 6 new students join the class, with an average age of 24 years. So, the total age of the new students is 6 * 24 = 144 years.

Step 3: The new average age of the class, after the new students join, is 30.5 years (since the average increased by half a year). The total number of students in the class is now x + 6.

Step 4: We can set up the equation for the new average age: (30x + 144) / (x + 6) = 30.5

Step 5: Solving this equation will give us the original number of students in the class.

Let's solve it:

30x + 144 = 30.5x + 183
0.5x = 144 - 183
0.5x = -39
x = -39 / 0.5
x = -78

However, the number of students cannot be negative. There seems to be a mistake in the problem as it leads to a negative number of students. Please check the problem and try again.

Knowee AI · Accepted Answer

Sure, let's solve this step by step:

Step 1: Let's denote the original number of students in the class as 'x'. The total age of all the students in the class is then 30x (since the average age is 30).

Step 2: 6 new students join the class, with an average age of 24 years. So, the total age of the new students is 6 * 24 = 144 years.

Step 3: The new average age of the class, after the new students join, is 30.5 years (since the average increased by half a year). The total number of students in the class is now x + 6.

Step 4: We can set up the equation for the new average age: (30x + 144) / (x + 6) = 30.5

Step 5: Solving this equation will give us the original number of students in the class.

Let's solve it:

30x + 144 = 30.5x + 183
0.5x = 144 - 183
0.5x = -39
x = -39 / 0.5
x = -78

However, the number of students cannot be negative. There seems to be a mistake in the problem as it leads to a negative number of students. Please check the problem and try again.

The average of a class is 30 years. 6 new students with an average age of 24 years join the class, there by increasing the average by half year find the original strength of the class.*1 point60585466

Question

Solution

Similar Questions

Upgrade your grade with Knowee