Question

Ten students of class 10 took part in a quiz. If the number of girls is 4 more than the number of boys
Represent this situation algebraically​

Answer 1

Let number of boys be b and number of girls be g

g=b+4

g+b=10

Solving the two simultaneous equations,
We get b=3 and g=7

Therefore number of boys is 3
Number of girls is 7

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Answer 2

Answer:

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)