Question

total number of student in a school is665 the number of girl is 86more than the boys find the mumber of girls and boys​

Answer 1

Correct Question :

Total number of student in a school is 656 the number of girl is 86 more than the boys. Find the mumber of girls and boys.

Answer :

$\underline{\boxed{\sf{Number\:of\:girls\:=\:371\:and\:boys\:=\:285}}}$

Step-by-step Explanation :

Let the number of girls be x and number of boys be y.

Given that, total number of students j. school is 656.

School contains both girls and boys. So, sum of number of girls and boys is equal to total number of students.

i.e.

$\implies\:\sf{x\:+\:y\:=\:656}$

$\implies\:\sf{x\:=\:656\:-\:y}$ ...(1)

Also, the number of girl is 86 more than the boys.

According to question,

$\implies\:\sf{x\:=\:y\:+\:86}$

Substitute value of x above

$\implies\:\sf{656\:-\:y\:=\:y\:+\:86}$

$\implies\:\sf{656\:-\:86\:=\:y\:+\:y}$

$\implies\:\sf{570\:=\:2y}$

$\implies\:\sf{y\:=\:\cancel\dfrac{570}{2}}$

$\implies\:\sf{y\:=\:285}$

•°• Number of boys = y = 285

Substitute value of y in x.

$\implies\:\sf{x\:=\:656\:-\:285}$

$\implies\:\sf{x\:=\:371}$

•°• Number of girls = x = 371

Verification :

Number of girls + Number of boys = Total number of students

=> 371 + 285 = 656

=> 656 = 656

Answer 2

Answer:

${\boxed{\bold{Number\:of\:boys=285}}}$

${\boxed{\bold{Number\:of\:girls=371}}}$

Step-by-step explanation:

Correct question:-

Total number of students in a school is 656. The number of girl is 86 more than the number of boys.Find the number of boys and girls.

________________________

Given that:-

• Total number of students = 656
• Number of girls =Number of boys+86
• Number of girls and boys = ?

_________________________

Let the number of boys = x

$\therefore$Number of girls = x + 86

${\underline{\underline{\bold{According\:to\:question\:now:-}}}}$

$\leadsto\tt x + (x + 86) = 656 \\\leadsto\tt x + x + 86 = 656 \\\leadsto\tt 2x = 665 - 86 \\\leadsto\tt 2x = 570 \\\leadsto\tt x =\frac{570}{2} \\\leadsto\tt x = 285$

$\therefore\bold{\underline{Number\:of\:boys=285}}$

$\rule{300}{2}$

$\tt Number\:of\:girls = x + 86 \\\leadsto\tt Number\: of\:girls = 285 + 86 \\\leadsto\tt Number\:of\:girls = 371$

$\therefore\bold{\underline{Number\:of\:girls=371}}$

Verification:-

$\tt Number\:of\:boys + Number\:of\:girls=656 \\\rightarrow\tt 285 + 371 = 656 \\\rightarrow\tt 656 = 656 \: \: \:[Verified]$

__________________________

$\tt Number\:of\:girls = Number\: of boys + 86 \\\rightarrow\tt 371 = 285 + 86 \\\rightarrow\tt 371 = 371 \: \: \: [Verified]$