Advanced MathHardDifference of two numbers from sum and product
Advanced Math practice question
Two positive numbers have a sum of 13 and a product of 36. What is the positive difference between them?
Answer: 5
The numbers are roots of n² − 13n + 36 = (n − 4)(n − 9) = 0: 4 and 9. Their difference is 5.
Common wrong answers
- If you answered 4
- 4 is the smaller number.
- If you answered 9
- 9 is the larger number.
- If you answered 13
- 13 is the sum.
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.