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CHAPTER IV-MISCELLANEOUS PROBLEMS (ON FRACTIONS). 75
32. Of (the contents of) a treasury, one man obtained $ part; others obtained from in order to , in the end of the successive remainders; and (at last) 12 purinas were seen by me (to remain). What is the numerical measure of the purunas contained in the treasury?
Here and examples in the Sexu variet.
The rule relating to the Mila variety of miscellaneous problend ou fractions!:
33. lalf of the coetticient of the sylare root of the unknown quantity and (the) the known remainder would loc cach divided by one as diminished by the fractional cocflicient of the unknown) quantity. The squaro root of be sum of the) known remainder
80 treated!, as combined with the square of the coefficient of the square root of the unknown quantity dealt with 18 a love, and then associated with the similarly treated coellicient of the square root of the unknown quantity), and thereafter nun redan a whole, gives rise to the required unknown yuantity in this müla varicts (of miscellaneous problem on fraction).
Eroompies in illustration thereof. 34. One-fourth of a herd of camels was seen in the forest : twice the square root of that herd, had gone on to mountainslopes; and 3 times 5 camels (wers, however, found) to remain ou the bank of a river. What is the (mmerical measure of that herd of camels?
35. After listening to the listinct sound caused by the drum made up of the series of clouds in the rainy season, and of a collection) of peacocks, together with of the remainder and of the remainder (thereafter .gladilcued with joy, kept on dancing on
33. Algebraically expr
, this rule come to
<
3
i this in easily obtained from the
LA
equation - bs + Na+a)= 0. l'hin tuation in the allorical expromjon of problems of this variety. Iferec mtand. for the coefficient of the wuare root of the unknown quantity in t found ont.