The man with the greater share receives $2,300. The other man receives $2,000.
Let us assume the man with less share gets x dollars. This is 100% of x. The man that receives 15% more then receives 115%, or 1.15x. Their total shared inheritance is $4,300. This can also be shown using their individual received portions:
[tex]x + 1.15x = 2.15x[/tex]
Since both represent the total inheritance, they are equal. Thus, solve for x:
[tex]2.15x = 4300 \\ \frac{2.15x}{2.15} = \frac{4300}{2.15} \\ x = 2000[/tex]
The man with the smaller share received x dollars, which can now be determined as $2,000. The man with the greater share receives 1.15x dollars, which using substitution is equal to $2,300.
To check, add the final individual shares and see if they equal the total.
[tex]2000 + 2300 = 4300[/tex]
Since they are equal, the answer is correct.
