A farmer's heritage

A farmer died, leaving his 17 horses to his three sons.
When his sons opened up the testament and read:
My eldest son should get 1/2 (half) of the total horses;
My middle son should be given 1/3rd (one-third) of the total horses;
My youngest son should be given 1/9th (one-ninth) of the total horses.

How many horses should each son-heir get?

Correct answer:

a =  9
b =  6
c =  2

Step-by-step explanation:

q=21+31+91=189+186+182=189+6+2=18170.9444 q1=1q=11817=181 181817=18181817=181817=1810.0556 n1=17 a1=n1/2=17/2=217=821=8.5 b1=n1/3=17/3=317=5325.6667 c1=n1/9=17/9=917=1981.8889  n2=1/q1=1/181=1:181=1 118=11 18=118=18 a=n2/2=18/2=9
c=n2/9=18/9=2   Verifying Solution:  n3=a+b+c=9+6+2=17

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