Advanced MathMediumConsecutive integers from a product
Advanced Math practice question
The product of two consecutive positive integers is 72. What is their sum?
Answer: 17
n(n + 1) = 72 gives n² + n − 72 = (n + 9)(n − 8) = 0, so n = 8. The integers are 8 and 9; their sum is 17.
Common wrong answers
- If you answered 8
- 8 is the smaller integer.
- If you answered 9
- 9 is the larger integer.
- If you answered 72
- 72 is the product.
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.