Question 1005444
The problem asks you to find the values of two unknown integers.

You can create an equation in order to solve this.

You know that one number is 2 more than half of the larger number, so you can start with this.

(x/2)+2 = y

y is the smaller number
x is the larger number

with this you can solve for both.

you want to find the answer to this equation.

(smaller number) + (larger number) = 26

all you have to do is substitute in y for (smaller number) and x for (larger number)

you then get this.

y + x = 26

you already have the y in terms of x solved up above, so just replace the y with (x/2)+2.

you can now solve (x/2)+2 + x = 26 to find the answer for the larger number.

which is x = 16.
(remember that x/2 is just 1/2x, so x + 1/2x = 3/2x)

now just plug in 16 for the equation we made before for finding y (the smaller number)

(x/2)+2 = y

(16/2)+2 = y

(8)+2 = y

10 = y

10 = smaller number

now we check our answer

10 + 16 = 26

26 = 26 :D

larger number = 16

smaller number = 10

We've solved the question!