Question

The product of two positive numbers is p. if each of the numbers is increased by 2, the new product is how much greater than twice the sum of the two original numbers?

Answer 1

xy = p
x+2 (y+2)=
xy+2x+2y+4=value
p+4+2x +2y =
p+4+2 (x+y)=
so the new product is p+4 greater than the sum of the two positive integers

Answer 2

Answer:

(p+4)

Step-by-step explanation:

Let the two numbers be x and y

Now we are given that the product of two numbers is p

So, $xy = p$  ---1

Now  each of the numbers is increased by 2.

So, Numbers will be x+2 and y+2

New product = $(x+2)(y+2)$

                     = $xy +2x+2y+4$

Using 1

New product  = $p +2x+2y+4$

New product  = $p+ 4+2x+2y$

Hence the new product is (p+4) greater than twice the sum of the two original numbers