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thing, on account of the other third of thing. There remain two-thirds of thing, equal to three dirhems and one-third. It is then only required that you complete the thing, by adding to it as much as one half of the same; accordingly, you add to three and one-third as much as one-half of them: This gives five dirhems, which is the thing that is taken out of the debts.
If he leaves two sons and ten dirhems of capital and a demand of ten dirhems against one of the sons, and bequeaths one-fifth of his property and one dirhem to a stranger, the computation is this: Call the sum which is taken out of the debt, thing. Add this to the property; the sum is thing and ten dirhems. Subtract one-fifth of this, since he has bequeathed one-fifth of (66) his capital, that is, two dirhems and one-fifth of thing; the remainder is eight dirhems and four-fifths of thing. Subtract also the one dirhem which he has bequeathed; there remain seven dirhems and four-fifths of thing. Divide this between the two sons; there will be for each of them three dirhems and a half plus two-fifths of thing; and this is equal to one thing.[1] Reduce it by subtracting two-fifths of thing from thing. Then you have three-fifths of thing, equal to three dirhems and a half. Complete the thing by adding to it two-thirds of the same: add as much to the three dirhems and a half,
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The stranger receives
![{\displaystyle {\begin{aligned}{\tfrac {4}{5}}[10+x]-1=2x&\;\therefore \;{\tfrac {2}{5}}[10+x]-{\tfrac {1}{2}}=x\\\;\therefore \;3{\tfrac {1}{2}}={\tfrac {3}{5}}x&\;\therefore \;x={\tfrac {35}{6}}=5{\tfrac {5}{6}}\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/92df361ea400a2e1d542fd551f213800809038e5)
![{\displaystyle {\tfrac {1}{5}}[10+{\tfrac {35}{6}}]+1=4{\tfrac {1}{6}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/afb6af85b54590f264c205f40f7a3daf60ae9655)
