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The product of two positive numbers

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The product of two positive numbers

by GmatKiss » Fri Aug 12, 2011 1:20 am
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?

a)p-2
b)p
c)p+2
d)p+4
e)2p+4
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by kmittal82 » Fri Aug 12, 2011 1:26 am
I'll do this by picking easy numbers, let them be 2 and 3

2 x 3 = 6 = Original Product

>If each of the numbers is increased by 2, the new product
4 x 5 = 20 = New product

>twice the sum of the two original numbers?
2(2+3) = 10

New product is greater by 10 = p + 4

(D)

PS: Can also be done by algebra, use x and y for numbers

x * y = p

(x+2)(y+2) = xy + 2(x+y) + 4 = p + 4 + 2(x+y)
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