Question

Number of boys and girls in a class are in the ratio 6 : 5 . The number of boys is 4 more than the number of girls. The total class strength is

Answer 1

Solution :-

Let us assume that, number of boys in class are 6x and number of girls are 5x.

Since it is given that, there are 4 more boys than girls .

→ 6x - 5x = 4

→ x = 4 .

Therefore,

→ Total strength of class is = Total boys + Total girls = 6x + 5x = 11x = 11 * 4 = 44 (Ans.)

Hence, There are 44 students in class.

Answer 2

AnswEr :

⠀⠀⠀⠀The total strength of class is 44.

$\sf \: Here\: \begin{cases} \sf \: Let \: the \: no. \: of \: boys = 6x\\ \sf \: Let \: the \: no. \: of \: girls = 5x \end{cases}$

According to the question,

$: \implies\sf \: \: \: No. \: of \: boys = No. \: of \: girls + 4$

$: \implies\sf \: \: \: 6x = 5x + 4$

$: \implies\sf \: \: \: 6x - 5x = 4$

$: \implies\sf \: \: \: \large\red {x = 4}$

Therefore,

• No. of Boys = 6x = 6 × 4 = 24

• No. of Girls = 5x = 5 × 4 = 20

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$\cdot \: { \underline{ \underline{ \sf{ \purple{Total \: Students :}}}}}$

$: \implies\sf \: \: \: No. \: of \: Boys + No. \: of \: Girls$

$: \implies\sf \: \: \: 24 + 20$

$: \implies\sf \: \: \: \large \orange{44}$

Therefore, the total strength of class is 44 .

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