of the
Week
|
Problem
of the Week |
Many thanks to Sudipta Das for the following morsel.
Solve the following pyramid shaped system of infinitely many equations.
A * N
= BC
AD *
N = BBC
ADD *
N = BBBC
ADDD *
N = BBBBC
and so on........
Here N is an integer, * denotes multiplication and A, B, C, and D are distinct, one digit integers. AD represents a two digit integer, ADD a three digit integer, and so on.
(The solver using the least trial and error wins!)
(For our hungrier guests: Are there any solutions without the restriction on the number of digits of A, B, C, D?)
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