The sum of two numbers is 84 and their positive difference is 16. What is the value of the smaller number?
Answer and explanation
Correct answer: D. 34
- Step 1: Let numbers be x and y with x > y. x + y = 84 and x - y = 16. Step 2. Subtract equations: 2y = 84 - 16 = 68 => y = 34. Step 3. Check: x = 50, x + y = 84, x - y = 16. Smaller is 34. Answer: 34, subtracting the difference from the sum and dividing by 2 ((84 - 16)/2 = 34). Why not the others: 50 is the larger number.
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