The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is:

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Accepted Answer

To solve this problem:

1. **Define Variables**:  
   Let there be $$ a $$ original students in the class with an average weight of $$ n $$ kg.  
   Let $$ b $$ new students join the class with an average weight of $$ n + 3 $$ kg.

2. **Weight Contribution**:  
   Each new student contributes an additional 3 kg to the total weight, which is shared among all $$ a + b $$ students, increasing the average weight by 0.6 kg.

3. **Equation Setup**:  
   The total excess weight brought by new students is:  
   $$
   3b
   $$  
   This excess is distributed among all students:  
   $$
   3b = 0.6(a + b)
   $$

4. **Simplify Equation**:  
   Expand and rearrange:  
   $$
   3b = 0.6a + 0.6b
   $$  
   $$
   2.4b = 0.6a \implies a = 4b
   $$

5. **Ratio Calculation**:  
   The ratio of original students to new students is:  
   $$
   a : b = 4 : 1
   $$

Thus, the correct answer is **4:1**.

Answer

Answer

Answer