1

Part of 2009 AIME Problems

Problems(2)

Geometric Numbers

Source: AIME 2009I Problem 1

3

-digit number geometric if it has

3

distinct digits which, when read from left to right, form a geometric sequence. Find the difference between the largest and smallest geometric numbers.

Bill's Painted Stripes

Source: AIME 2009II Problem 1

Before starting to paint, Bill had

130

ounces of blue paint,

164

ounces of red paint, and

188

ounces of white paint. Bill painted four equally sized stripes on a wall, making a blue stripe, a red stripe, a white stripe, and a pink stirpe. Pink is a mixture of red and white, not necessarily in equal amounts. When Bill finished, he had equal amounts of blue, red, and white paint left. Find the total number of ounces of paint Bill had left.