Question

in a school of 3600 student number of boys is thrice number of girls find number of boys and girls ​

Answer 1

$\huge\bf\underline{Answer}$

The number of boys in the school is 2700 and the number of girls in the school is 900.

Explanation:-

Given :

Total number of students in the school = 3600

Number of boys = Thrice the number of girls

To find :

The number of boys and girls.

Solution :

Let the number of boys be x

and the number of girls be 3x

According to the question,

$= > x + 3x = 3600$

$= > 4x = 3600$

$= > x = \dfrac{3600}{4}$

$= > x = 900$

Hence, the number of girls is 900.

Therefore, the number of boys => 3x = 3 × 900 = 2700

Verification:-

Putting the value of x

$= > 900 + 3 \times 900 = 3600$

$= > 900 + 2700 = 3600$

$= > 3600 = 3600$

Therefore, L.H.S = R.H.S

Hence, Proved.

Answer 2

$\huge\bf{\green{\mid{\overline{\underline{Explained\:Answer}}}\mid}}$

$<font color = "blue">Given →</font color = "pink">$

Total number of students in the school = 3600

$<font color = "blue">Find Out →</font color = "pink">$

The number of boys and girls in the school.

$<font color = "blue">Solve →</font color = "pink">$

Let the number of boys in the school = 3x

and, the number of girls in the school = x

According to the question,

=> x + 3x = 3600

=> 4x = 3600

=> x = 3600 / 4

.°. x = 900

$<font color = "blue">Hence, the number of girls is 900. </font color = "pink">$

Now,

Putting the values of x for finding the number of boys in the school.

Number of boys = 3x

=> 3 × 900 = 2700

$<font color = "blue">Hence, the number of boys is 2700. </font color = "pink">$