Respuesta :

The numbers are 74 and 76.

The consecutive even numbers that the product is 5624 are 76 and 74.

What are even numbers?

Even numbers are numbers which when divided by two has no remainder.

Example of even numbers are 2, 4, 6, 8 and many more.

Therefore, when the product of two consecutive even numbers is 5624, the numbers can be found as follows:

let

x = first even number

Therefore,

x(x + 2) = 5624

x² + 2x = 5624

x² + 2x - 5624 = 0

(x+76)  (x-74)

Therefore, the numbers are 76 and 74.

learn more on even numbers here: https://brainly.com/question/20707270

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