Math, asked by GREATBEAST8267, 1 year ago

The sum of 2 consecutive even number the difference of whose square is 84

Answers

Answered by GamingJAKE
1

GIVE FULL QUESTION . THE QUESTION LACKS SOMTHING

Answered by AnIntrovert
11

Given

  • What is the sum of 2 consecutive even numbers , the difference of whose square is 84 .

Solution

Let us assume one of the number be x

  • So, the second number will be
  • x + 2 .. cuz it's a even number

Now , the question says ,

⇒ ( x + 2 )² - x² = 84

⇒ x² + 4x + 4 - x² = 84

⇒ 4x + 4 = 84

⇒4x = 80

⇒x = 80 / 4

x = 20

Then, x + 2 → 22

Therefore, the numbers are 20 and 22 .

  • Here it asks , the sum of both even number

So, 20 + 22 = 42 Ans !!

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