Question

In a class of 50 students, the number of girls is 20 less than the boys. Find the number of boys and girls

Answer 1

Answer:

boys = 35

girls = 15

Step-by-step explanation:

Hey there!!!!

here is your solution step by step,

Given:-

total no. of s students = 50 students

Boys = X

Girls = X - 20

Finding no. of boys and girls:-

total no. of students = boys + girls

50 = X + X - 20

50 = 2X - 20

50 + 20 = 2X

70 = 2X

70/2 = X

35 = X

X = 35

So,

boys = 35

girls = 35 - 20 = 15

Hope it's helpful for you!

Answer 2

Answer :-

Number of boys in class = 35

Number of gîrls in class = 15.

Step-by-step explanation:

To Find :-

• The total number of boys and gîrls in a class of 50 students.

★ Solution

Given that,

• Total number of students = 50
• The number of gîrls is 20 girls are less than boys.

Assumption

Let us assume number of boys as (x) and number of gîrls as (x - 20).

∴ (x) + (x - 20) = 50

By simplifying,

⇒ (x) + (x - 20) = 50

⇒ x + x - 20 = 50

⇒ 2x - 20 = 50

⇒ 2x = 50 + 20

⇒ 2x = 70

⇒ x = 70/2

⇒ x = 35

The value of x is 35.

Now, Number of boys and gîrls :-

• Boys = x = 35
• Girls = (x - 20) = 35 - 20 = 15

Hence, Number of boys and gîrls are 35 and 15.

______________________________

V E R I F I C A T I O N :-

• (x) + (x - 20) = 50

We have,

L.H.S = (x) + (x - 20)

R.H.S = 50

By simplifying, the L.H.S by putting the value of x :-

⇒ (x) + (x - 20)

⇒ 35 + (35 - 20)

⇒ 35 + 15

⇒ 50

Now, L.H.S = R.H.S = 50

Hence, Verified!