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What is the sum of two consecutive even numbers, the difference of whose squares is 84?


Options:
A .  34
B .  38
C .  42
D .  46
Answer: Option C

Let the numbers be x and x + 2.

Then, (x + 2)2 - x2 = 84

What Is The Sum Of Two Consecutive Even Numbers, The Differ... 4x + 4 = 84

What Is The Sum Of Two Consecutive Even Numbers, The Differ... 4x = 80

What Is The Sum Of Two Consecutive Even Numbers, The Differ... x = 20.

What Is The Sum Of Two Consecutive Even Numbers, The Differ... The required sum = x + (x + 2) = 2x + 2 = 42.


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