SOLUTION: The sum of three consecutive integers is -72. Find the numbers.

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Question 101501: The sum of three consecutive integers is -72. Find the numbers.
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
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Question:
The sum of three consecutive integers is -72. find the numbers.

Answer:

Here you have three consecutive number...

So you can take them as, a, a+1 and a+2

their sum is -72


==> a +(a+1)+ (a+2) = -72

==> a + a + 1 + a + 2 = -72


==> a + a + a + 1 + 2 = -72

==> 3a + 3 = -72

Subtract 3 from both sides...


==> 3a + 3 - 3 = -72 - 3


==> 3a = -75

Divide both sides by 3


==> +3a%2F3+=+-75%2F3


==> a = -25


Hence the answer.

Also you can find out the three numbers.
a = -25
a+1 = -25 +1 = -24
a + 2 = -25 + 2 = -23

So -25, -24 and -23 are the three consecutive number. and the middle number is


Hope you found the explanation useful.


Regards.

Praseena.