Question

Find two positive numbers satisfying the given requirements.

The product is 152 and the sum is a minimum.

Answer 1

To find two positive numbers with a given product and a minimum sum, find the factors of the product and choose the two numbers that are closest together. The two positive numbers that satisfy the given requirements are 8 and 19.

Step-by-step explanation:

To find two positive numbers with a given product and a minimum sum, we need to find the two numbers that are closest together. Let's call the two numbers x and y. We know that xy = 152, so we can start by finding the factors of 152. The factors of 152 are: 1, 2, 4, 8, 19, 38, 76, and 152.

From these factors, we can see that the two numbers closest together are 8 and 19. Therefore, the two positive numbers that satisfy the given requirements are 8 and 19.

Answer 2

8 and 19

Step-by-step explanation:

To some this, let's first list all the factors of 152. They are;

1, 2, 4, 8, 19, 38, 76, 152.

Now, let's arrange them to reflect being multiplied to get 152.

Thus;

1 × 152 = 152

2 × 76 = 152

4 × 38 = 152

8 × 19 = 152

Also, let's do the same for their sum;

1 + 152 = 153

2 + 76 = 78

4 + 38 = 42

8 + 19 = 27

Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19