Question

If the difference of two numbers is 20 and the sum of their squares is 500, what is their product?​

Answer 1

Answer:

50

Step-by-step explanation:

Let the two numbers be x and y.

Now, its given that x - y = 20

and  x² +y² = 500

We need to use the identity (x-y)² = x²+y²-2xy

So, x²+y² = (x-y)²+2xy

     500 = (20)²+2xy

     500 = 400+2xy

     500-400 = 2xy

     100/2 = xy

∴    xy = 50

So, the product of these two numbers will be 50