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There are 50 students in a class. One of the them weight 50 kg goes away and a new student joins. By this the average weight of the class increases bi 1/2 kg. The weight of new student is :?
Most Upvoted Answer
There are 50 students in a class. One of the them weight 50 kg goes aw...
Solution:

To solve this problem, we need to use the formula for average weight of a class:

Average weight of the class = Total weight of all students / Number of students

Let X be the weight of the new student.

Step 1: Calculate the total weight of the class before the new student joined.

Total weight of all students before = 50*50 = 2500 kg

Step 2: Calculate the total weight of the class after the new student joined.

Total weight of all students after = 50*X + 2450 kg

Step 3: Calculate the new average weight of the class.

New average weight = (Total weight of all students after) / 50 + 1 = (50X + 2450) / 51

Step 4: Use the information given in the problem to set up an equation.

According to the problem, the new average weight is 1/2 kg more than the original average weight. So we can write:

New average weight = Original average weight + 1/2 kg

Substituting the values, we get:

(50X + 2450) / 51 = (2500 - 50) / 50 + 1/2

Step 5: Solve the equation for X.

Simplifying the equation, we get:

50X + 2450 = 2600

50X = 150

X = 3 kg

Therefore, the weight of the new student is 3 kg.

Explanation:

In this problem, we are given the number of students in a class and their total weight before and after a new student joins. We are also given the information that the new average weight of the class is 1/2 kg more than the original average weight. Using this information, we can set up an equation and solve for the weight of the new student.

To solve the equation, we need to use the formula for average weight of a class and simplify the equation to get the weight of the new student.
Community Answer
There are 50 students in a class. One of the them weight 50 kg goes aw...
Answer is 75
let: X= average weight,Y=New student weigh
X*50-50+Y=(X+0.5)*50
50X- 50+Y=50X+25
Y=50X-50X+75
Y=75
this question also can be solved by general logic
jab koi banda new aata hai or avrg weight 0.5 kg badhta hai mtlv
50 kg jane wale bande ka and har ek ke weight mai 0.5 or add ho jayega mtlv
50+0.5*50= 50+25=75
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