Question

Here are a few pairs of positive numbers whose sum is 34. (3 pts)

a. Find the product of each pair of numbers.
First
Number
1
4
8
14
Second
Number
33
30
26
20
b. Which pair of numbers that have a sum of 34 will produce the largest possible
product? What is that product?

Answer 1

Answer: 280

Explanation:

The products of each pair of numbers are:

1 x 33 = 33

4 x 30 = 120

8 x 26 = 208

14 x 20 = 280

b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).

The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.