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