The sum of three consecutive odd integers is 99. What are the three numbers?

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The sum of three consecutive odd integers is 99. What are the three numbers?

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Answer 1 · 2016-01-21T13:15:02

I found #31,33,35#

Explanation:

Let us call our odd integers:
#2n+1#
#2n+3#
#2n+5#
and write our condition as:
#(2n+1)+(2n+3)+(2n+5)=99# and solve it for #n#:
#6n+9=99#
#6n=90#
#n=90/6=15#
so our numbers will be:
#2n+1=31#
#2n+3=33#
#2n+5=35#

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The sum of three consecutive odd integers is 99. What are the three numbers?

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Explanation:

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