An Easy Starter!
This is the very first Puzzlet, originally published in 1996. It
is also the simplest in the series, of which there are over two hundred
to
date. So this is just a gentle introduction, preparing you for the more
challenging
material to come ...
A
4-digit integer has the following properties:
- The sum of its first and third
digits equals the sum of the other digits.
- The product of its first and
last digits is ten times greater than the product of the remaining
digits.
- The sum of the first two
digits is only half the sum of the last two digits.
What
is the integer? Is there more than one answer?