What is the sum of two consecutive even numbers, the difference of whose squares is 84?Choices:- 34 38 42 46
Question
Solution 1
Let's denote the two consecutive even numbers as x and x+2.
The difference of their squares is given by:
(x+2)^2 - x^2 = 84
Expanding and simplifying this equation gives:
4x + 4 = 84
Subtracting 4 from both sides gives:
4x = 80
Dividing both sides by 4 gives:
x = 20
So, the two consecutive Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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