9. The sum of two consecutive even integers is 106. Find the integers. Answers

Solution

10. The sum of two consecutive odd integers is 40. Find
the integers. Answers

Solutions

11. Find three consecutive integers if twice the largest
is 16 less than three times the smallest. Answers
Solutions

__Answers 1-3:__

9. 52 and 54 Solution

10. -21 and -19. Solution

11. 20, 21,and 22
Solution

__Solutions 1- 3:__

**9. The sum of two consecutive
even integers is 106. Find the integers.**

**
a. Read the problem several times. Guess.**

The integers have to be in the neighborhood of 106 divided by 2.

**b. Define x, usually to answer the question.**

Let x = the first even integer.

**c. Label other unknown quantities in terms
of x.**

Let x + 2 = the second even integer.

**d. Form an equation.**

x + (x + 2) = 106

**e. Solve the equation.**

x + (x + 2) = 106

2x + 2 = 106

2x = 104

x = 52

**f. Answer the question.**

**10. The sum of two consecutive odd integers
is 40. Find the integers.**

**a. Read the problem several times. Guess.**

- Whats your guess? Write it down and check it later.

**b. Define x, usually to answer the question.**

Let x = the first odd integer.

**c. Label other unknown quantities in terms of x.**

Let x + 2 = the second odd integer.

**d. Form an equation.**

x + (x + 2) = -40

**e. Solve the equation.**

2x + 2 = -40

2x = -42

x = -21

**f. Answer the question.**

**11. Find three consecutive integers
if twice the largest is 16 less than three times the smallest.**

**a. Read the problem several times. Guess.**

- This is a tough one for guessing. Better pull out the algebra.

**b. Define x, usually to answer the question.**

Let x = the first integer

**c. Label other unknown quantities in terms
of x.**

Let x + 1 = the second integer.

Let x + 2 = the third integer.

**d. Form an equation.**

2(x + 2) = 3x - 16

**e. Solve the equation.**

2(x + 2) = 3x 16

2x + 4 = 3x 16

4 = x 16

20 = x

**f. Answer the question.**

Created by: Willette Hackney

Date: 12/16/00

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