# Difference between revisions of "Mock AIME 1 2013 Problems"

JoetheFixer (talk | contribs) (Created page with "== Problem 1 == Two circles <math>C_1</math> and <math>C_2</math>, each of unit radius, have centers <math>A_1</math> and <math>A_2</math> such that <math>A_1A_2=6</math>. Let <...") |
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== Problem 2 == | == Problem 2 == | ||

− | + | Find the number of ordered positive integer pairs <math>(a,b,c) such that </math>a<math> evenly divides </math>b<math>, </math>b+1<math> evenly divides </math>c<math>, and </math>c-a=10$. | |

[[2013 Mock AIME I Problems/Problem 2|Solution]] | [[2013 Mock AIME I Problems/Problem 2|Solution]] | ||

## Revision as of 17:51, 6 May 2013

## Contents

## Problem 1

Two circles and , each of unit radius, have centers and such that . Let be the midpoint of and let $C_#$ (Error compiling LaTeX. ! Missing { inserted.) be a circle externally tangent to both and . and have a common tangent that passes through . If this tangent is also a common tangent to and , find the radius of circle .

## Problem 2

Find the number of ordered positive integer pairs abb+1cc-a=10$. Solution

## Problem 3

## Problem 4

## Problem 5

## Problem 6

## Problem 7

## Problem 8

## Problem 9

## Problem 10