Advanced MathMediumConsecutive integers with a given product
Advanced Math practice question
The product of two consecutive positive integers is 30. What is the sum of the two integers?
Answer: 11
n(n + 1) = 30 gives n² + n − 30 = (n + 6)(n − 5) = 0, so n = 5 (positive). The integers are 5 and 6; their sum is 11.
Common wrong answers
- If you answered 5
- 5 is the smaller integer alone.
- If you answered 6
- 6 is the larger integer alone.
- If you answered 30
- 30 is the product, not the sum.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.