If the sum of two numbers is 30 and their difference is 8, what is their product?

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If the sum of two numbers is 30 and their difference is 8, what is their product? Answer: 209

x + y = 30 ... (Equation 1) x - y = 8 ... (Equation 2) We can solve these equations by adding them together, which eliminates y: 2x = 38 Dividing both sides by 2 gives us: x = 19 Now that we have x, we can find y by substituting x into Equation 1: 19 + y = 30 Subtracting 19 from both sides gives us: y = 11 Now that we have both x and y, we can find their product: Product = x * y = 19 * 11 = 209

Question context

This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the ASF Airports Security Force preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.