find two number whose sum is 16 and the product is 48.
Answer (1)
Let the two numbers be x and y.We have two equations:x + y = 16x • y = 48From the first equation, we can express y in terms of xy = 16 - xSubstitute this into the second equationx • (16 - x) = 48Expand and rearrange to form a quadratic equation16x - x² = 48x² - 16x + 48 = 0.Factor the quadratic equation(x - 4)(x - 12) = 0Solve for xx = 4 or x = 12.If x = 4, then y = 16 - 4 = 12.If x = 12, then y = 16 - 12 = 4. Final answer:So, the two numbers are 4 and 12.
