Question

The difference between the squares of two even consecutive integers is 68. Find the integers
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Answer 1

Answer:

18 and 16

Step-by-step explanation:

Let the first even number be x

Then the next even number would be x+2

So,

$(x + 2 )^{2} - {x}^{2} = 68 \\ ({x}^{2} + 4 + 4x) - {x}^{2} = 68 \\ 4 + 4x = 68 \\x = 16$

and x+2=18

So two even consicitive numbers are 18 and 16