Question

the square of Greater two consecutive even number exceeds the square of the smaller by 36 find the numbers plzzz answer and prove you are intellegent

Answer 1

$\large{\boxed{\bold{Answer:}}}$

Let the two consecutive even numbers be x and (x+2)

Squaring both sides,

$(x + 2 {)}^{2} - {x}^{2} = 36 \\ \\ = > (x + 2 + x)(x + 2 - x) = 36 \\ \\ = > (2x + 2)(2) = 36 \\ \\ = > 2x + 2 = \frac{36}{2} \\ \\ = > 2x + 2 = 18 \\ \\ = > 2x = 18 - 2 \\ \\ = > 2x = 16 \\ \\ = > x = 8$

The numbers are 16 and 8

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Answer 2

Let the no be x and (x+2) because they are consecutive even no
So,

(x+2+x) (x+2-x)=36
(2x+2) (2)=36
2x+2=18
2x=16
x=8