Question

Find two numbers whose difference is 100, and their product is minimized.

A) 0 and 100
B) 50 and 150
C) 25 and 125
D) -50 and 50

Answer 1

The two numbers with a difference of 100 and a minimized product are 50 and 150.

Step-by-step explanation:

The numbers that would have a difference of 100 and their product minimized are:

A) 0 and 100

Let's check if these numbers meet the conditions:

Difference: 100 - 0 = 100 (correct)

Product: 0 x 100 = 0 (not minimized)

Therefore, the correct answer is B) 50 and 150 because:

Difference: 150 - 50 = 100 (correct)

Product: 50 x 150 = 7500 (minimized)