dirhems debts.” Computation:[1] Take the property left by the slave, namely, seventeen hundred and fifty dirhems, and add to it what he has advanced to the master, namely, six hundred dirhems; the sum is two thousand three hundred and fifty dirhems. Subtract from this the debts, which are two hundred dirhems, and the ransom, which is five hundred dirhems less thing, since the legacy is thing; there remain then sixteen hundred and fifty dirhems plus thing. The mother receives herefrom one-third, namely, five hundred and fifty plus one-third of thing. Subtract now this and the debts, which are two hundred dirhems, from the actual inheritance of the slave, which is seventeen hundred and fifty; there remain one thousand (110) dirhems less one-third of thing. Subtract from this the debts of the master, namely, three hundred
- ↑ A. dies before his master, and leaves a mother. His price was
; he has redeemed 
, which the master has spent. The property he leaves is 
. He owes debts 
.
The master owes debts 
.
![{\displaystyle {\tfrac {1}{3}}[\alpha +a^{\prime }-a+x-\epsilon ]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c30ffa0e4dc41686489674098703f792816c8634)
is the mother’s.
![{\displaystyle \alpha -{\tfrac {1}{3}}[\alpha +a^{\prime }-a+x-\epsilon ]-\epsilon }](https://wikimedia.org/api/rest_v1/media/math/render/svg/949d04a4b41c9358ca3d9e3680f213652c765848)
is the master’s.
![{\displaystyle \alpha -{\tfrac {1}{3}}[\alpha +a^{\prime }-a+x-\epsilon ]-\epsilon -\mu =2x=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/509578cd09be0f5cfd5aded4686a7029d6388eae)
the master’s, after paying his debts.
| Hence
|
![{\displaystyle x={\tfrac {1}{7}}[2\alpha +a-a^{\prime }-2\epsilon -3\mu ]=300}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f566dba04b0c433489d7225a5fe796fc12352f68)
|
| Mother’s
|
![{\displaystyle ={\tfrac {1}{7}}[3\alpha -2a+2a^{\prime }-3\epsilon -3\mu ]=650}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e34ec5a291c9412e5b856b7890f4e75e7a1d35cb)
|
| Master’s, without
|
![{\displaystyle ={\tfrac {1}{7}}[4\alpha +2a-2a^{\prime }-4\epsilon -6\mu ]=600}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e72ad787fd36f5def833b780d55d558135f3aa81)
|
| Mother’s, with
|
![{\displaystyle ={\tfrac {1}{7}}[4\alpha +2a-2a^{\prime }-4\epsilon +\mu ]=900}](https://wikimedia.org/api/rest_v1/media/math/render/svg/28be50d020d12503f6900a392fc2ea44c2416e8c)
|
| A. receives, inclusive of
|
![{\displaystyle ={\tfrac {1}{7}}[3\alpha -2a+2a^{\prime }+4\epsilon -\mu ]=850}](https://wikimedia.org/api/rest_v1/media/math/render/svg/aac13d8fa1521ea514747f984d044a7290064b42) .
|
