The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much grater than twice the sum of the two original numbers?
A
p times
B
2p times
C
(p+4) times
D
(2p + 30 times
Correct Answer: (p+4) times
Let, One number is = x; other = y xy = P —– (i) (x + 2) (y + 2) = xy + 2y + 2x + y xy + 2 (x + y) + 4 = xy + 4 + 2(x + y) = P + 4 + 2(x + y) The new result is (P + 4) greater. ans: (P + 4) times