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Shri Mahavir Jain Aradhana Kendra
www.kobatirth.org
Acharya Shri Kailassagarsuri Gyanmandir
CHAPTER VI - MIXED PROBLEMS.
121
above division chain. Thus the creeper-like chain of figures required for the solution of this latter combined problem is obtained. This chain is to be dealt with as before from below upwards, and the resulting number is to be divided as before by the first divisor in this last division chain. The remainder obtained in this operation is then) to be multiplied by the divisor (related to the larger group-value, and to the resulting product, this) larger group-value is to be addel. (Thus the value of the required inulti plier of the given group-number is obtained ; and this will satisfy both the specified distributions takeu together into consideration).
Exumplez in illustration thereof.
1161. Into the bright and refreshing outskirts of a forest, which were full of numerous trees with their branches bent down with the weight of flowers and fruits, trees such as jambū trees, limo trees, plantains, areca palms, jack trees, date-palms, hintāla trecs, palmyras, punnāga trees and mango trees-- (into the ontskirts, the various quarters whereof were filled with the many sounds of crowds of parrots and cackoos found near springe containing lotuses with bees roaming about them-into such forest outskirts) a number of weary travellers entered with joy.
117]. (There were) 63 (numerically equal) heaps of plantain fruits put together and combined with 7 (more) of those same fruits; and these were (equally) distributed among 23 travellers so as to leave no remainder. You tell me now) the (numerical) measure of a heap (of plantains.)
118). Again, in relation to 12 (numerically equal) heaps of pomegranntes, which, after having been put together and
By applying the principle of vallika-kuttikära in the last equation, the value of c is obtained, and thence the value of v can be easily arrived at.
It is seen from this that, when, in order to find out v, we deal with t, and og in accordance with the louttīköra method, the cheda or the divisor to be taken in
-, or the least common multiple of the divisors in the first two equations.
16
relation to ti is 41 42
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