Question

(ii) The difference between the squares of two consecutive even numbers is 36. Find the numbers
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Answer 1

Answer:

The answer is 8 and 10

Step-by-step explanation:

let the two consecutive even numbers be x and x+2

Given that,

The difference between the squares of two consecutive even numbers =36

⇒ $x^{2}$-$(x+2)^{2}$ = 36

⇒ $x^{2}$- $x^{2}$+$4x$+4 =36

⇒ $4x$+4 =36

⇒$4x$  = 36-4

⇒$4x$  = 32

⇒$x$  =  $32/4$

⇒ $x$ =  8

and $x+2$ = 8+2 =10

∴ The two consecutive even numbers are 8 and 10

Answer 2

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i hope answer is hopeful for you