Distributed 2825

The king distributed his horses to the three sons in a ratio of 7:6:4. The eldest son received 63 horses, the most of all the brothers. How many horses did the king share with his sons?

Correct answer:

n =  153

Step-by-step explanation:

$$\begin{gathered} 63=\frac{7}{7+6+4}\cdot n \\ 17\cdot 63=7\cdot n \\ 7n=1071 \\ n=\frac{1071}{7}=153 \\ n=153 \\ \text{ Verifying Solution: } \\ d=n/17=153/17=9 \\ a=7\cdot d=7\cdot 9=63 \\ b=6\cdot d=6\cdot 9=54 \\ c=4\cdot d=4\cdot 9=36 \end{gathered}$$

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