asked 166k views
11 votes
The sum of three consecutive odd numbers is 99. What are those three numbers. Write an equation and show your work

asked
User Aeonius
by
7.9k points

1 Answer

9 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

answered
User Matan Itzhak
by
8.4k points

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