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

Question

2603 views around the world

You can reuse this answer
Creative Commons License

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#