The number of boys in a school is 334 more than the number of girls. If the total strength of the school is 572, find the number of girls in the school.

Answer

To solve the problem, we will define the number of girls in the school as a variable and then use the information given in the question to form an equation.

### Step-by-Step Solution:

1. **Define the Variable:**
Let the number of girls in the school be represented by \( g \).

2. **Express the Number of Boys:**
According to the problem, the number of boys is 334 more than the number of girls. Therefore, we can express the number of boys \( b \) as:
\[ b = g + 334 \]

3. **Set Up the Equation for Total Strength:**
The total strength of the school is the sum of the number of boys and girls, which is given as 572. We can write this as:
\[ g + b = 572 \]
Now, substituting the expression for \( b \) from step 2 into this equation:
\[ g + (g + 334) = 572 \]

4. **Combine Like Terms:**
Simplifying the equation gives:
\[ 2g + 334 = 572 \]

5. **Isolate the Variable:**
To isolate \( g \), first subtract 334 from both sides:
\[ 2g = 572 - 334 \]
\[ 2g = 238 \]

6. **Solve for \( g \):**
Now, divide both sides by 2 to find the number of girls:
\[ g = \frac{238}{2} \]
\[ g = 119 \]

7. **Conclusion:**
Therefore, the number of girls in the school is \( 119 \).