Respuesta :

jcherry99

Answer:

Step-by-step explanation:

There might be a shorter way of doing this and a better one as well, but here is how I did it.

Let the three numbers be

  • 2n - 2
  • 2n
  • 2n + 2

Solution

Note that these three numbers are consecutive and even.

Twice the smallest number is 2 * (2n - 2)

20 more than the second number is 2n + 20

Now equate them.

2(2n - 2) = 2n + 20                           Remove the brackets.

4n - 4 = 2n + 20                                Add 4 to both sides

4n - 4 + 4 = 2n + 20 + 4

4n = 2n + 24                                       Subtract 2n from both sides.

4n - 2n = 2n - 2n + 24

2n = 24

Now stop

Answers

  • The middle number is 24
  • The smallest number is 24 - 2 = 22
  • The largest number is 24 + 2 = 26

Check

22*2 = 44

The middle number = 24 + 20 = 44