What is the sum of two consecutive even numbers, the difference of whose squares is 84?	Choose the correct choice from the following answers:
A) 34 B) 38 C) 42 D) 46 E) 48
Solution   Let the numbers be x and x + 2.   Then, (x + 2)2–x2 = 84   ‹=›4x + 4 = 84   ‹=›4x = 80   ‹=›x = 20.   Required sum = x+(x+2)= 2x+2 +( +2)= 
<gadget id="calculator">+( +2)</gadget>
<output>2</output>
2x+2= 42.   Answer 42
<result>C</result>
What is the sum of two consecutive even numbers, the difference of whose squares is 84?