MathDB

A Mathlon is a competition in which there are

M

athletic events. Such a competition was held in which only

A

B

, and

C

participated. In each event

p_1

points were awarded for first place,

p_2

for second and

p_3

for third, where

p_1 > p_2 > p_3 > 0

and

p_1

p_2

p_3

are integers. The final scores for

A

was 22, for

B

was 9 and for

C

was also 9.

B

won the 100 metres. What is the value of

M

and who was second in the high jump?

2