Advanced MathHardTwo numbers from their product and difference
Advanced Math practice question
Two positive numbers differ by 2 and have a product of 24. What is their sum?
Answer: 10
Let the numbers be n and n + 2: n(n + 2) = 24, so n² + 2n − 24 = (n + 6)(n − 4) = 0, n = 4. The numbers are 4 and 6; their sum is 10.
Common wrong answers
- If you answered 4
- 4 is the smaller number alone.
- If you answered 6
- 6 is the larger number alone.
- If you answered 26
- 26 adds the product and the difference.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.