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 situati

2 thoughts on “Ten students of class 10 took part in a quiz. If the number of girls is 4 more than the number of boys<br />Represent this situati”

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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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)

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