The sum of two consecutive odd integers is 56.

A. Define a variable for the smaller integer.
B. What must you add to an odd integer to get the next greater odd integer?
C. Write an expression for the second integer.
D. Write and solve an equation to find the two odd integers.

Yeah, I did it right! Thank you!!

(a) represent the unknowns using variables:

let x = be the smaller odd integer

(b) since the difference between any odd integers is always 2, we must add 2 to the smaller odd integer to get the next odd integer.

(c) let x + 2 = be the greater odd integer

(d) since it is stated that the sum of the integers is equal to 56,
x + (x + 2) = 56
2x + 2 = 56
2x = 54
x = 27 (smaller odd integer)
x + 2 = 29 (larger odd integer)

hope this helps~ :)

A. Let's define the smaller integer as 'x'.

B. To get the next greater odd integer, you always add 2. This is because the difference between consecutive odd integers is always 2.

C. The second integer would be 'x + 2', since you add 2 to the smaller integer to get the next odd integer.

D. To find the two odd integers whose sum is 56, we can set up the following equation:
x + (x + 2) = 56

Simplifying the equation:
2x + 2 = 56

Subtracting 2 from both sides:
2x = 54

Dividing both sides by 2:
x = 27

So, the first odd integer is 27 (x), and the second odd integer is 29 (x + 2).

A. To define a variable for the smaller integer, let's call it "x".

B. To get the next greater odd integer, we need to add 2 to the given odd integer. This is because odd integers are always spaced 2 units apart (e.g., 3, 5, 7, etc.).
C. The expression for the second integer can be written as (x + 2) since it is the smaller integer (x) plus 2.
D. Now we can write the equation to find the two odd integers. The sum of the two integers is given as 56, so the equation is:
x + (x + 2) = 56.

To solve the equation:
1. Combine like terms:
2x + 2 = 56
2. Subtract 2 from both sides of the equation to isolate the variable:
2x = 56 - 2
2x = 54
3. Divide both sides of the equation by 2 to solve for x:
x = 54 / 2
x = 27

Therefore, the two consecutive odd integers are 27 and (27 + 2), which are 27 and 29, respectively.