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

• Let numbers be x,y. So xy=p
  (x+2)(y+2)-2(x+y)=xy+4
  So p+4 is answer
  
• 14 years agoHelpfull: Yes(7) No(0)
• Ans: p+4
  
  Letus assume xy=p
  
  (x+2)(y+2)=new value of P
  xy+2x+2y+4=new value of P
  
  P+4+2(x+y)
• 14 years agoHelpfull: Yes(5) No(0)
• Ans: p+4
  Given, mn=p. (m+2)(n+2)=mn + 2(m+n) + 4=p + 2(m+n) + 4, which is p+4 more than 2(m+n)
• 14 years agoHelpfull: Yes(3) No(0)
• p+4
• 14 years agoHelpfull: Yes(3) No(4)
• Ans is B
  x.y=p
  (x+2).(y+2)=2xy=2p
  therefore 2p-p=p
• 14 years agoHelpfull: Yes(2) No(4)
• (D) p+4
• 14 years agoHelpfull: Yes(1) No(1)
• (x+2)(y+2)-2(x+y)=p+4
• 14 years agoHelpfull: Yes(1) No(1)
• option (D)
  P+4
  (x+2)(y+2)=2x+2y
  xy+4+2x+2y=2x+2y
  =>p+4
• 14 years agoHelpfull: Yes(1) No(0)
• (D) p+4
• 14 years agoHelpfull: Yes(0) No(2)
• Ans : (D) p+4
  aXb=p, (a+2)X(b+2)=aXb + 2X(a+b) + 4 = p + 4 + 2X(a+b)
• 14 years agoHelpfull: Yes(0) No(2)
• p+4
• 14 years agoHelpfull: Yes(0) No(0)
• p+4
• 14 years agoHelpfull: Yes(0) No(0)