The sum of two numbers is 80 and their difference is 20. What are the two numbers?

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The sum of two numbers is 80 and their difference is 20. What are the two numbers? Answer: 50,30

Step-by-Step Solution: Let the numbers be x and y, where x > y. x+y=80 x−y=20 Step 1: Add the two equations (x+y)+(x−y)=80+20⇒2x=100⇒x=50 Step 2: Find y y=80−x=80−50=30 Numbers are 50 and 30

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.