WORD PROBLEM HOMEWORK SUPPLEMENT TO SEC. 2.4

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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.

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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.

Page
2

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