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Question

If the number p is 5 more than q and the sum of the squares of p and q is 55, then the product of p and q is:


  1. 10
  2. 5
  3. 15
  4. None of these


Solution

The correct option is D None of these
p=5+q
(p+q)2=55
4q2+20q+25=55
 (2q+5)2=55
pq=(5+q)q=5q+q2
4(q2+5q)=5525=30
q2+5q=304=7.5
q(q+5)=7.5
pq=7.5

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