1.

The Product Of Two Positive Numbers Is P. If Each Of The Numbers Is Increased By 2, The New Product Is How Much Greater Twice The Sum Of The Two Original Numbers?

Answer»

Lets ASSUME number are X,y 

So, there PRODUCT = xy

Given number increased by 2 

so, now number are x+2,y+2.

Given product is twice the sum of two ORIGINAL No. 

=> product = (x+2)(y+2) = 2(x+y) 

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

=> xy+4

so it increase by 4.

Lets assume number are x,y 

So, there product = xy

Given number increased by 2 

so, now number are x+2,y+2.

Given product is twice the sum of two original No. 

=> product = (x+2)(y+2) = 2(x+y) 

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

=> xy+4

so it increase by 4.


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