WORD PROBLEM HOMEWORK SUPPLEMENT TO SEC. 2.4

 

 

In each of the following problems, you will be given two or more unknowns.  One of the unknowns will be represented by a variable of your choosing, and the other unknown(s) will then be represented by an expression or expressions containing the same variable.  Set up an equation for each problem, and then solve for the requested information.

 

1)     Two numbers add together to give 51.  One of the numbers is 17 more than the other

      number.  Find the numbers.

 

2)  Two numbers add to give 81.  One of the numbers is twice the other.  Find the

      numbers.

 

3)     Two numbers add to give 64.  One number is 7 more than twice the other.  Find the

      numbers.

 

4)     Two numbers add to give 19. One is 5 less than 3 times the other.  Find the numbers.

 

5)     Two numbers add up to 30.  One is three less than 10 times the other.  Find the

      numbers.

 

6)     George is 10 years older than Laura.  Their ages add to 46.  How old is each?

 

7)     Mike is 2 years less than twice Tom’s age.  If their combined age is 25, how old is

      each?

 

8)     Nate is 5 years older than 4 times Josh’s age.  If their ages add together to a total of

     100, how old is each?

 

9)     Clint is 3 years older than Sue.  Anne is 5 years younger than Sue.  If their combined

      age is 28, how old is each?

 

10) Lois is two years less than twice David’s age.  Mike is two years younger than David.  If their combined age is 40, how old is each? 

 

11) The supplement of an angle is 4 times its complement.  Find the angle.

 

12) The supplement of an angle is 7 times its complement.  Find the angle.

 

13)  The supplement of an angle is 11 times its complement.  Find the angle.

 

14) The supplement of an angle is 40 more than 3 times its complement.  Find the angle.

 

15) The supplement of an angle is 30 less than 5 times its complement.  Find the angle.

 

 

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Answers:

 

1)     17, 34

2)     27, 54

3)     19, 45

4)     6, 13

5)     3, 27

6)     Laura is 18, George is 28

7)     Tom is 9, Mike is 16

8)     Josh is 21, Nate is 89

9)     Sue is 10, Clint is 13, Anne is 5

10) David is 11, Lois is 20, Mike is 9

11) 60 degrees

12) 75 degrees

13) 81 degrees

14) 65 degrees

15) 60 degrees