Solve the following x + y = 22, x – y = 8 what is the value of x.y?

A) 105

B) 209

C) 109

D) None of these

x + y = 22 …… ( i )

x – y = 8 …… ( ii ) 

Adding equation ( i ) and ( ii ) we get 

2x = 30 

  x = 15 

Putting value of x in equation ( i )

15 + y = 22 …… ( i )

        y = 7 

⇒ x.y = 15 * 7 = 105

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