The total number of students in class seventh of a school is 340. Number of boys is 64 more than number of girls. Find the number of boys, also find the number of girls.
Answers
Answer:
Since we dont know the number of girls in a class, let us keep the number of girls in a class as = x
As the question states the number of boys is 64 then that of girls , which in an equation can be written as = x + 64
Total number of students in a class = 340
We can find the number of girls and boys in this class with the help of the following equation .
= x + x + 64 = 340
= 2x + 64 = 340
2x = 340 - 64 ( transposing +64 from LHS to RHS changes +64 to -64 )
= 2x = 276
= x = 276 ÷ 2 ( transposing ×2 from LHS to RHS makes ×2 to ÷2 )
x = 138
So if x = 138 which is the number of girls in a class ,
then number of boys =
=x + 64
= 138 + 64
= 202
No of boys in a class = 202 .
Therefore , the number of girls in a class = 138 and the number of boys in a class = 202 .
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Given
- Total Students in class = 340
To Find
- Number of boys and girls in class
Solution
Total students = 340
Let the no. of girls be x
Then, no. of boys will be x + 64
According to question,
➨ x + x + 64 = 340
➨ 2x + 64 = 340
➨ 2x = 340 - 64
➨ 2x = 276
➨ x = 276/ 2
➨ x = 138
Number of Girls in class
= x = 138
Number of Boys in class
= x + 64 = 138 + 64 = 202