467,628 views
44 votes
44 votes
The sum of three consecutive odd numbers is 99. What are those three numbers. Write an equation and show your work

User Dimitar Genov
by
2.8k points

1 Answer

21 votes
21 votes

Answer:

31,33,35

Explanation:

Let us call our odd integers:

2

n

+

1

2

n

+

3

2

n

+

5

and write our condition as:

(

2

n

+

1

)

+

(

2

n

+

3

)

+

(

2

n

+

5

)

=

99

and solve it for

n

:

6

n

+

9

=

99

6

n

=

90

n

=

90

6

=

15

so our numbers will be:

2

n

+

1

=

31

2

n

+

3

=

33

2

n

+

5

=

35

User Patonza
by
3.0k points