A Teacher brings 55 gifts to classroom. Red colours gifts given to each student of classroom And yellow colours gifts shared between two childrens of classroom nd green colours gifts shared between three childrens of classroom.how many childrens are there in classroom?

To find the number of children in the classroom, we need to analyze the given information about the gifts.

Let's assume the number of children in the classroom is "x".

According to the information given:
- Red colored gifts are given to each student. Therefore, the number of red colored gifts is equal to the number of students, which is "x".
- Yellow colored gifts are shared between two children. So, the number of yellow colored gifts is half the number of children or "x/2".
- Green colored gifts are shared between three children. Hence, the number of green colored gifts is one-third of the number of children or "x/3".

Now, let's add up the number of gifts:
Red gifts + Yellow gifts + Green gifts = Total gifts
x + x/2 + x/3 = 55

To solve this equation, we can simplify it by getting rid of the denominators:
Multiply the whole equation by the least common multiple (LCM) of 2 and 3, which is 6:
6x + 3(x/2) + 2(x/3) = 6 * 55
6x + 3x/2 + 2x/3 = 330
Multiplying through by 6 to simplify the fractions:
36x + 9x + 4x = 1980
49x = 1980
Solving for x:
x = 1980 / 49
x ≈ 40.41

Since we cannot have a fraction of a child, we conclude that there must be 40 children in the classroom.

Therefore, there are 40 children in the classroom.