Chapter 6, Problem 2ASAP

To determine

To find: the option that gives the correct value of greatest integer.

Answer to Problem 2ASAP

C.

Explanation of Solution

Given information:

Let the two consecutive odd integers be $x\text{ and }\left(x+2\right)$

  $x+\left(x+2\right)=56$

The options are as follows:

1. 25
2. 27
3. 29
4. 31
5. 33

Calculation:

The value of first odd integer can be evaluated as follows:

  $\begin{array}{c}x+\left(x+2\right)=56\\ 2x+2=56\\ 2x=54\\ x=27\end{array}$

The value of greatest odd integer can be evaluated as follows:

  $\begin{array}{c}x+2=27+2\\ =29\end{array}$

Thus, option C is correct.