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142
GANITASĀRASANGRAHA,
The rule for arriving at the (weights of) many (component quantities of) gold (of known varnas in a mixture of known varna and weight);
185. (In relation to all the known component varnas) excepting one of them, optionally chosen weights may be adopted. Thon what remains should be worked out as in relation to the previously given cases by means of the rule bearing upon the (determination of an unknown weight of gold.
An example in illustration thereof. 186. The (given) varnas (of the component quantities of gold) are 5, 6, 7, 8, 11, and 13 (respectively); and the resulting varna is in fact 9; and if the total) weight of all the component quantities) of gold bo 60, what may be the several measures (in weight of the various component quantities) of gold ?
The rule for arriving at the unknown varnas of two (known quantities of gold when the resulting varna of the mixture is known) :
187. Divido one (soparately) by the two (given weights of) gold; multiply (neparately cach of the quotients thus obtained) by (the weight of) the corresponding quantity of) gold and (also) by tho (resulting) varna ; write down (both the products so obtained) in two different) places; (each of those in onch of the two sets,) if diminished and increased alternately by one os divided by (the
186. The rule reforred to hore is found in stanza 180 above.
187. The rule will become clear by the following working of the problom in stanna 188* 18 1) and in * 10 x 11 uro writton down in two places
11 11
aro added and subtracted alternately in each of the two
Thon io andò sote thus :
11+ al
fuciom
16
Jand
od 11 - 16 m m .
'. Tbeo give the two sets of answers. Lil + 10
