MathDB

A Mathlon is a competition where there are

M

athletic events.

A, B

and

C

were the only participants of a Mathlon. In each event,

p_1

points were given to the first place,

p_2

points to the second place and

p_3

points to third place, with

p_1> p_2> p_3> 0

where

p_1

p_2

and

p_3

are integer numbers. The final result was

22

points for

A

9

for

B

, and

9

for

C

B

won the

100

meter dash. Determine

M

and who was the second in high jump.

6