## 10 student of class 10 took part in a mathematic quiz. If the number of girls is 4 more than the number of boys, Find the number of boys and

Question

10 student of class 10 took part in a mathematic quiz. If the number of girls is 4 more than the number of boys, Find the number of boys and girls took part in the quiz

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2 weeks 2021-09-13T23:45:54+00:00 2 Answers 0 views 0

1. boys 3 and girls 7

Step-by-step explanation:

total students=10

let x be the number of boys

girls is 4 more than the boys so

number of girls is 4+x

as per given data

4+x+x =10

4+2x=10

2x=10-4

2x=6

x=6/2

x=3

therfore number of boys is 3 and girls is 7

Step-by-step explanation:

Formulation:

Let the number of girls is x and the number of boys is y. It is given that a total of ten students took part in the quiz.

∴ Number of girls + Number of boys =10

i.e., x+y=10

It is also given that the number of girls is 4 more than the number of boys.

∴ Number of girls = Number of boys +4

i.e., x=y+4

or, x−y=4

Algebraic Representation:

Thus, the algebraic representation of the given situation is

x+y=10       (i)

x−y=4         (ii)