Subject: Re: Four consecutive numbers
Date: Wed, 06 Nov 1996 18:26:15 -0500
From: Alex Bogomolny
judging by the answer you provide your problem should read
> Find four consecutive integers such that the first and third is five
> more than the fourth.
This is the problem I am going to solve. Denote the smallest number by a. Then we get four numbers
a, a+1, a+2, a+3.
The sum of the first and the third equals a+(a+2) which is 2a+2. This is 5 more than the last number, i.e.
(2a+2) - 5 = a+3
This gives 2a+2-5=a+3 or 2a-3=a+3 and, finally, 2a-a=3+3. a=6. That's it. The power of algebra.