126 GANITASĀRASANGRAHA. 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 Bhunnakuttikära. 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 , 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 here). Sakala-kuttikara. The rule in relation to sakala-hutṭākāra. 136. The quotient in the first among the divisions, carried on by means of the dividend-coefficient (of the unknown quantity to be distributed), as well as by means of the divisor and the (succes- sively) 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 he added. (Then by means of these num- bers in the chain), the sum, (which has to be) obtained by adding (successively to the lowermost number) the product of the two 136. This rule will become clear from the following working of the problem given in 137.-- The problem is, when. 177x + 240 201 Removing the common factors, we have an integer, to find out the values of a. 59x80 67 is an integer.
