Find two numbers whose difference is 5 and whose product is a minimum

Question

parthkohli · Answer

What are the 'numbers'?
Integers? Natural numbers? Whole numbers?

anonymous · Answer

(0,5) , (2.5, -2.5) , (7.5, 2.5) , (10, 5)

parthkohli · Answer

Anyway, there's a logic behind this question.
Two negatives multiplied to each other will make a positive.
Two positives multiplied to each other will make a positive.
A negative and a positive will make a negative.

parthkohli · Answer

Negative is always less than a positive, so one number must be negative. See what I did there?

parthkohli · Answer

But as you are given the choices, you may find out their products.
$5 \times 0 = 0$
$2.5 \times -2.5 = -6.25$
$7.5 \times 2.5 = 18.75$
$10 \times 5 = 50$

parthkohli · Answer

Which number, according to you, is the least?

anonymous · Answer

so it has to be (2.5, -2.5) because one has to be negative?

parthkohli · Answer

Yes, exactly!

anonymous · Answer

ohhhh! mmmm, i get it :)