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In a class, the total number of students is (52). Boys are (8) more than girls. What is the number of girls?

Answer and explanation

Correct answer: 22

Let the number of girls be \(g\). Then the number of boys is \(g+8\). Using the total, \(g+(g+8)=52\), so \(2g=44\). Hence, \(g=22\). If the number of girls were 23, the number of boys would be 31 and the total would become 54, so that option is incorrect. Exam tip: In such questions, represent the smaller number by a variable and write the larger number as variable plus the given difference.

Related tags

Pair Of Linear EquationsLinear EquationsWord ProblemClass 10 MathematicsSubstitution MethodAlgebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination MethodPair Of Linear Equations In Two Var

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