Solve.EXAMPLE 6Some states have a single area code for the entire state. Two such states h...

Solve.

EXAMPLE 6

Some states have a single area code for the entire state. Two such states have area codes that are consecutive odd integers. If the sum of these integers is 1208, find the two area codes. (Source: North American Numbering Plan Administration)

Solution

1. UNDERSTAND. Read and reread the problem. If we let

2. TRANSLATE.

3. SOLVE.

4. INTERPRET.

Check:  If x = 603, then the next odd integer x + 2 = 603 + 2 = 605. Notice their sum, 603 + 605 = 1208, as needed.

State:  The area codes are 603 and 605.

Note:  New Hampshire’s area code is 603 and South Dakota’s area code is 605.

Fill in the table. Most of the first row has been completed for you.

Three consecutive odd integers: