SOLUTION: Three consecutive integers add up to 63. find the middle integer.

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Question 101366: Three consecutive integers add up to 63. find the middle integer.
Answer by praseenakos@yahoo.com(507) (Show Source):
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Question:
Three consecutive integers add up to 63. find the middle integer.
Answer:

Here you have three consecutive number...

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

their sum is 63

==> a +(a+1)+ (a+2) = 63

==> a + a + 1 + a + 2 = 63

==> a + a + a + 1 + 2 = 63

==> 3a + 3 = 63

Subtract 3 from both sides...

==> 3a + 3 - 3 = 63 - 3

==> 3a = 60

Divide both sides by 3

==>

==> a = 20

So the middle number is = a + 1 = 20 + 1 = 21

Hence the answer.

Alos you can find out the three numbers.
a = 20
a+1 = 21
a + 2 = 22

So 20, 21 and 22 are the three consecutive number. and the middle number is 21

Hope you found the explanation useful.

Regards.

Praseena.