1984 AIME Problems
Contents
Problem 1
Find the value of if
,
,
is an arithmetic progression with common difference 1, and
.
Problem 2
The integer is the smallest positive multiple of
such that every digit of
is either
or
. Compute
.
Problem 3
A point is chosen in the interior of
such that when lines are drawn through
parallel to the sides of
, the resulting smaller triangles
,
, and
in the figure, have areas
,
, and
, respectively. Find the area of
.