Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

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126
GAŅITASĀRASANGRABA.
quantities to be distributed in accordance with the problem). Each (of the quotients so obtained) happens to be the required (quantity which is to be multiplied by the given) multiplier in the process of Bhinnakuttīkāra.*
An example in illustration thereof.
135. A certain quantity multiplied by 6, (then) increased by 10 and (then) divided by 9 leaves no remainder. Similarly, (a certain other quantity multiplied by 6, then) diminished by 10 (and then divided by 9 leaves no remainder). Tell me quickly what those two quantities are (which are thus multiplied by the given multiplier bere).
Sakala-kuttikara.
The role in relation to sakala-kuttikäru.
1361. The quotient in the first among the divisions, carried on by means of the dividend-coefficient (of the known quantity to be distributed), as well as by means of the divisor and the successively) resulting remainders, is to be discarded. The other quotients obtained by means of this mutual division (carried on till the divisor and the remainder become equal) are to be written down (in a vertical chain along with the ultimately equal remainder and divisor); to the lowermost figure in this chain), the remainder (obtained by dividing the given known quantity in the problem by the divisor therein), is to be added. (Then by means of these numbers in the chain), the sum, (which has to be obtained by adding (successively to the lowermost number) the product of the two
1364. This rule will become clear from the following working of the problem given in 1373 :The problem is, when
177x + 240
U is an integer, to find out the values of 2.
201 Removing the common factors, we have
is an integer.