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Shri Mahavir Jain Aradhana Kendra
www.kobatirth.org
Acharya Shri Kailassagarsuri Gyanmandir
124
GANITAS.BASANGRAHA.
the specified known quantity which is to be taken away (from the previous remainder) is added; and this resulting sum) is multiplied by that (same kind of) remaining fractional proportion (of the remainder as has been mentioned above). This is to be done as many times as there are distributions to be made. Then these quantities so obtained should be deprived of their denominators; and these denominator-less quantities and the successive products of the above-mentioned remaining fractional proportious of the remainder) are (to be used as the known quantity and the (other elements, viz., the cocfficient) multiple (of the unknown quantity and the divisor, required in relation to a problem on Vallikä-kuttikāra).
Examples in illustration thereof. 1311. On a certain mau bringing mango fruits (home, bis) elder son took one fruit first and then half of what remained. (On the elder son going away after doing this, the younger (son) did similarly (with what was left there. He further took half
The rule will be clear from the following working of the problem in 132133 :
Here 1 is the first agra, and is the first agri visa; therefore 1- or in the sēsu visa. Now, obtain the product of agra and sēså visa or 1 x 3 or $. 'Write it down iu 2 places.
Repeat the quantities { }; add the second ayra 1 (to one of the quantities)
Then we have
multiply both by the next sesa ma l
or, so that you get
11 Take these figures and add the third agra 1 as before ; and you bave { }; multiply by the next sēşānisu 1- or f and by the last arsa or }; and you have {11}
Ill The denominators of the first fractions in these three sets of fractions marked I, II, III, are dropped, and the numerators represent negative agras in & problem on Vallikä-kuttikára wherein the numerator and the denominator of each of the second fractions in those sets represent respectively the dividend coefficients and the divisor. Thus we have
2.8 - 2. is an integer ;
a 8a - 38 is an integer. 42 - 10 is an integer; and --81
The value of satisfying these three conditions gives the number of Howers,
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