Question

the product of two positive numbers is 100. find the two numbers so that the sum of the numbers is as small as possible

Answer 1

The two numbers are 10 and 10.

Explanation:

Write down the factors of 100

100 = 1, 2, 4, 5, 10, 20, 25, 50, 100

Check the sum of each of the factors

Factors = 1 and 100

Sum = 1 + 100

= 101

Factors = 2 and 50

Sum = 2 + 50

= 52

Factors 4 and 25

Sum = 4 + 25

= 29

Factors 5 and 20

Sum = 5 + 20

= 25

Factors 10 and 10

Sum = 10 + 10

= 20

The factors with the smallest sum are 10 and 10.