Advanced MathMediumTwo numbers from a product and a difference
Advanced Math practice question
Two positive numbers have a product of 40 and differ by 3. What is the smaller number?
Answer: 5
n(n + 3) = 40 gives n² + 3n − 40 = (n + 8)(n − 5) = 0, so n = 5.
Common wrong answers
- If you answered 8
- 8 is the larger number.
- If you answered 13
- 13 is the sum of the two numbers.
- If you answered -8
- −8 is the rejected negative root.
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