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

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

User Matan Itzhak
by
8.4k points

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