36 PLANETARY PULVERISER where Y is related to y by the relation y = 212890 x + Y.¹ Solving this equation, we get x = 106141, Y = 23101. Hence the solution of the equation (3) is X = 106141, y = 212890 x + Y 22596380591. may be written as = The required ahargana is therefore 106141; and the mean longitude of the Sun is 22596380591 thirds, i.e., 3 signs, 32 degrees, 52 minutes, 23 seconds, and 11 thirds. Alternative method. When a > b, the pulveriser ax-c by + c = y which can be solved ordinarily by applying the rule stated in stanza 51 below. A rule for solving the so called vara-kuṭṭakara (week-day pulveriser): 48. Divide the abraded number of civil days (in a yuga) by 7. Take the remainder as the dividend, and 7 as the divisor. Also take the excess 1, 2, etc., of the required day over the given day as the residue. Whatever number (i.e., multiplier) results on solving this pulveriser is the multiplier of the abraded number of civil days. The product of these added to the ¹ 212890 and 45790 are obtained as the quotient and the remainder when 44789760000 is divided by 210389.
