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.
Frequently asked questions
What is the correct answer to this question?
22
Why is this the correct answer?
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.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..
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