Three 43

Three brothers inherited a cash amount of 62,000, and they divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?

Correct result:

x =  24800

Solution:

$$\begin{gathered} p=62000 \\ a=p\cdot {\displaystyle \frac{5}{5+4+1}}=62000\cdot {\displaystyle \frac{5}{5+4+1}}=31000 \\ b=p\cdot {\displaystyle \frac{4}{5+4+1}}=62000\cdot {\displaystyle \frac{4}{5+4+1}}=24800 \\ c=p\cdot {\displaystyle \frac{1}{5+4+1}}=62000\cdot {\displaystyle \frac{1}{5+4+1}}=6200 \\ x=a-c=31000-6200=24800 \end{gathered}$$

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