In a class, the total number of boys and girls is (45). Boys are (9) more than girls. What is the number of boys?
Answer and explanation
Correct answer: 27
Let the number of boys be \(x\) and the number of girls be \(y\). Then \(x+y=45\) and \(x-y=9\). Adding the two equations gives \(2x=54\), so \(x=27\). Therefore, the number of boys is 27. Option 26 is close, but it would leave 19 girls, giving a difference of 7 rather than 9. Exam tip: for questions giving a total and a difference, add the equations to find the larger quantity directly.
Frequently asked questions
What is the correct answer to this question?
27
Why is this the correct answer?
Let the number of boys be \(x\) and the number of girls be \(y\). Then \(x+y=45\) and \(x-y=9\). Adding the two equations gives \(2x=54\), so \(x=27\). Therefore, the number of boys is 27. Option 26 is close, but it would leave 19 girls, giving a difference of 7 rather than 9. Exam tip: for questions giving a total and a difference, add the equations to find the larger quantity directly.
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..
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
