Math, asked by amritdubey77, 8 hours ago


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

Answers

Answered by adiwan2
3

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

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