MathDB
Counting Integers with Constraints

Source: AIME 2010I Problem 5

March 17, 2010
AMCAIME

Problem Statement

Positive integers a a, b b, c c, and d d satisfy a>b>c>d a > b > c > d, a \plus{} b \plus{} c \plus{} d \equal{} 2010, and a^2 \minus{} b^2 \plus{} c^2 \minus{} d^2 \equal{} 2010. Find the number of possible values of a a.
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