SOLUTION: the numbers on karl's three raffle tickets are consecutive integers.The sum of the numbers is 138.What are the numbers? For me consecutive integers are hard to understand,but i did
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Question 240770: the numbers on karl's three raffle tickets are consecutive integers.The sum of the numbers is 138.What are the numbers? For me consecutive integers are hard to understand,but i did try to figure it out.This is how i did it:x+(x+1)=138, 2x+1=138,2x=137.of course if you divide 2 and 137 you will get a number that has a decimal in it,so then i wasn't sure what to do.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You only missed it by THAT much (holds thumb and forefinger a tiny distance apart)
Your method would have worked just fine if he had only two tickets (of course, in that case, the sum would necessarily have been odd). But he had three tickets, so you need three consecutive integers.
If you let 
represent the first integer, then 
is most certainly the next consecutive integer -- just as you stated. But you needed the next one as well, which is \ +\ 1\ =\ x\ +\ 2)
Now, the sum of all three is 138, so:
\ +\ (x\ +\ 2)\ =\ 138)
Solve that and you will find that 
is a nice, tidy integer.
Write back and let me know how you did.
John
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