10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part the quiz.?

Question

Answer

Problem:
10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.

Solution:
Let's assume the number of boys who took part in the quiz as 'x'.
According to the given information, the number of girls is 4 more than the number of boys. Therefore, the number of girls who took part in the quiz is 'x + 4'.

Step 1: Write the equation.
We know that the total number of students who took part in the quiz is 10. Therefore, we can write the equation as:
x + (x + 4) = 10

Step 2: Solve the equation.
Combine like terms:
2x + 4 = 10

Subtract 4 from both sides:
2x = 6

Divide both sides by 2:
x = 3

Step 3: Interpret the solution.
The number of boys who took part in the quiz is 3.
The number of girls who took part in the quiz is x + 4 = 3 + 4 = 7.

Answer:
Therefore, 3 boys and 7 girls took part in the Mathematics quiz.

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