The numbers on three raffle tickets are consecutive integers whose sum is 7530. What are the integers?

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Answer 1 · 2016-05-06T07:45:44

#2509"; "2510"; "2511#

Let the first number be #n#
Then the next two numbers are:#" "n+1" ; "n+2#

So #n+n+1+n+2=7530#

#3n+3=7530#

Subtract 3 from both sides

#3n+3-3=7530-3#

But #+3-3=0#

#3n=7527#

Divide both sides by 3

#3/3xxn =7527/3#

But #3/3=1#

#n=2509#

'~~~~~~~~~~~~~~~~~~~~~
check # 3(2509)+3+=7530#