132 Chapter 2 Linear Equations and Inequalities Solving an Application Involving Consecutive Integers Example 4 The sum of two consecutive odd integers is 188. Find the integers. Solution: In this example we have two unknown integers.We can let x represent either of the unknowns. Step 1: Read the problem. Suppose x represents the first odd integer. Step 2: Label the unknowns. Then represents the second odd integer. Step 3: Write a verbal model. Step 4: Write a mathematical equation. Step 5: Solve for x. 1x 22 a First b asecond b 1total2 integer integer x 1x 22 188 x 1x 22 188 2x 2 188 2x 2 2 188 2 2x 190 2x 2 190 2 x 95 The first integer is Step 6: Interpret the results and write the answer in words. x 95. The second integer is x 2 95 2 93. The two integers are 95 and 93. Skill Practice 4. The sum of two consecutive even integers is 66. Find the integers. Solving an Application Involving Consecutive Integers Example 5 Ten times the smallest of three consecutive integers is twenty-two more than three times the sum of the integers. Find the integers. Solution: Step 1: Read the problem. Let x represent the first integer. Step 2: Label the unknowns. represents the second consecutive integer. x 1 x 2 represents the third consecutive integer. TIP: With word problems, it is advisable to check that the answer is reasonable. 95 The numbers and are consecutive odd 93 integers. Furthermore, their sum is 188 as desired. Answer 4. The integers are 32 and 34.
miller_beginning_intermediate_algebra_4e_ch1_3
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