Question

the number of boys and girls are in the ratio of 7:5 the number of boys are 8 more than the number of girls find​

Answer 1

CORRECT QUESTION :

The number of boys and girls are in the ratio of 7:5. The number of boys are 8 more than the number of girls. Find the number of boys and girls.

ANSWER :

Number of boys is 28 and number of girls is 20.

EXPLANATION :

GIVEN :-

• The number of boys and girls are in the ratio of 7:5.
• The number of boys are 8 more than the number of girls.

TO FIND :-

• Numbers of boys and girls.

SOLUTION :-

Let the number of girls be x .

The number of boys are 8 more than the number of girls.

Number of boys = (x+8)

Ratio of girls and boys = 7:5

★ According to the question,

$\sf{(x+8):x = 7:5}$

$\implies\sf{\frac{x+8}{x}=\frac{7}{5}}$

$\implies\sf{7x=5x+40}$

$\implies\sf{7x-5x=40}$

$\implies\sf{2x=40}$

$\implies\sf{x=20}$

✪Number of girls = 20

✪Number of boys = (20+8)= 28

________________________

VERIFICATION :

Number of boys = 28

Number of girls = 20

Boys : Girls=7:5

→28 : 20 = 7 : 5

→ 7 : 5 = 7 : 5 ( Verified)

___________________________

Answer 2

Correct Question :

• The number of boys and girls are in the ratio of 7:5 the number of boys are 8 more than the number of girls find the number of boys and girls.

AnsWer :

• Number of boys 28.
• Number of girls 20.

Given :

• Number of boys and girls are in the ratio 7 : 5.
• Number of boys 8 more than number of girls.

Solution :

• Let the Number of girls be x.
• Then, Number of boys is x + 8.

That means,

$\tt \implies\: x \: : \: x + 8 = 7 \: : \: 5.$

then,

$\implies \tt \frac{x + 8}{x} = \frac{7}{5} .$

$\implies \tt 5x + 40 = 7x.$

$\implies \tt x = 20.$

Then, Number of girls be 20.

And,

Number of boys is 8 move number of girls.

$\implies \tt x + 8= 20 +8 .$

$\implies \tt 20 + 8 = 28.$

Number of boys be 28.

Therefore, Number of boys be 28 and girls be 20.