Question

Frame the equation and solve: In a school, the number of girls is 50 more than the number of boys. The total number of students is 1070. Find the number of boys and girls.

Answer 1

Answer:

boys = 510

girls= 560

Step-by-step explanation:

let the no. of boys be x

so, no. of girls will be x+50

AtQ, x+x+50 = 1070

2x =1070 - 50

x = 510

Answer 2

$\underline\bold \blue{Required \: Answer}$

Number of girls is 560

Number of boys is 510

______________________

To Find:-

• Number of boys
• Number of girls

Given:-

• Total number of students = 1070
• Number of girls 50 more than boys

Solution:-

Let the number of boys be " x - 50 "

Let the number of girls be x

step-by-step explanation:

⟹ x + x - 50 = 1070

⟹ 2x = 1070 + 50

⟹ 2x = 1120

⟹ x = 1120/2

⟹ x = 560

A . T . Q

Number of girls = 560

Number of boys :-

⟹ x - 50

⟹ 560 - 50

⟹ 510

$\underline\bold{Verification}$

No. of girls + No. of boys = Total no. of students

According the question,

⟹ 560 + 510 = 1070

⟹ 1070 = 170

L.H.S = R.H.S

Hence, Proved