Let's say the two numbers are x and y, where x is the larger number. According to the problem, we have two equations:

x + y = 2(x - y) (1) (The sum of two numbers is twice their difference)

x - y = P (2) (The difference of the numbers is P)

Substituting equation (2) into equation (1), we get:

x + y = 2P

Adding this equation to equation (2), we have:

x + y + x - y = 2P + P

2x = 3P

x = 3P/2

So, the larger of the two numbers is 3P/2.