Question

The sum of two consecutive even numbers is 38.find the numbers

Answer 1

let x = the first even numberlet (x + 2) = the second even number.their sum must be 38  ∴x + (x + 2) = 38 by simplification we get 2x + 2 = 38 subtracting 2 from each side of the equation we will get 2x = 36
dividing each side of the equation by 2 we will get x = 18 so one number is 18 and another number is 18 + 2 = 20 

Answer 2

Let the two digit number be x and x+2.

Given that the sum of two consecutive even numbers is 38.

x + x + 2 = 38

2x + 2 = 38

2x = 38 - 2

2x = 36

x = 36/2

x = 18.

If one number is 18 then the other number will be x + 2 = 18 + 2 = 20.


Verification:

(x) + (x + 2) = 18 + 18 + 2

                   = 18 + 20

                   = 38.


Therefore the numbers are 18 and 20.


Hope this helps!