The product of two consecutive positive even numbers is 48. If the smaller number is x, what is the equation?
Answer and explanation
Correct answer: \(x(x+2)=48\)
Consecutive even numbers differ by 2, so if the smaller is x the next is x+2. The product equation is therefore \(x(x+2)=48\). Option B is incorrect because \(x+1\) represents consecutive integers, not consecutive even numbers. Option C is wrong because it gives a sum, not a product. Option D is incorrect because \(2x=48\) does not represent the product of two different consecutive even numbers. Exam tip: explicitly write the two numbers (x and x+2) first, then form the product or sum as stated in the problem.
Frequently asked questions
What is the correct answer to this question?
\(x(x+2)=48\)
Why is this the correct answer?
Consecutive even numbers differ by 2, so if the smaller is x the next is x+2. The product equation is therefore \(x(x+2)=48\). Option B is incorrect because \(x+1\) represents consecutive integers, not consecutive even numbers. Option C is wrong because it gives a sum, not a product. Option D is incorrect because \(2x=48\) does not represent the product of two different consecutive even numbers. Exam tip: explicitly write the two numbers (x and x+2) first, then form the product or sum as stated in the problem.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
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