# Tag Archives: AIME

## [Soln] 2013 AIME I Problem 15

2013 AIME I 15. Let  be the number of ordered triples  of integers satisfying the conditions (a) , (b) there exist integers , , and , and prime where , (c) divides , , and , and (d) each ordered triple … Continue reading

## 2013 AIME I Problem 15

2013 AIME I 15. Let  be the number of ordered triples  of integers satisfying the conditions (a) , (b) there exist integers , , and , and prime where , (c) divides , , and , and (d) each ordered triple … Continue reading

## [Soln] 2013 AIME I Problem 14

2013 AIME I 14. For , let and so that . Then where and are relatively prime positive integers. Find .

## 2013 AIME I Problem 14

2013 AIME I 14. For , let and so that . Then where and are relatively prime positive integers. Find .

## [Soln] 2013 AIME I Problem 13

2013 AIME I 13. Triangle has side lengths , , . For each positive integer , points  and are located on  and  respectively, creating three similar triangles . The area of the union of all triangles  for  can be expressed as , where  and  are relatively prime … Continue reading