पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)

ANSWERS 95
78-79. The following are the 16 valid integral solutions :
(1) (2) (3) (4)
Number Price Number Price Number Price Number Price
Pigeons 15 9 | 55 33 5 3 | 30 18
Cranes 28 20 | 21 15 56 40 | 21 15
Swans 45 35 | 9 7 27 21 | 36 28
Peacocks 12 36 | 15 45 12 36 | 13 39
(5) (6) (7) (8)
Number Price Number Price Number Price Number Price
Pigeons 10 6 20 12 15 9 | 35 21
Cranes 42 30 14 10 63 45 | 42 30
Swans 36 28 54 42 9 7 | 9 7
Peacocks 12 36 12 36 13 39 | 14 42
(9) (10) (11) (12)
Number Price Number Price Number Price Number Price
Pigeons 20 12 | 40 24 60 36 | 25 15
Cranes 49 35 | 28 20 7 5 | 35 25
Swans 18 14 | 18 14 18 14 | 27 21
Peacocks 13 39 | 14 42 15 45 | 13 39
(13) (14) (15) (16)
Number Price Number Price Number Price Number Price
Pigeons 45 27 35 21 5 3 | 10 6
Cranes 14 10 7 5 21 15 | 7 5
Swans 27 21 45 35 63 49 | 72 56
Peacocks 14 42 | 13 39 | 11 33 | 11 33
Of these sixteen solutions, the first four have been given by the com-
mentator.
80. The commentator gives the following solutions :
(1) (2) (3) (4) (5)
Fruits Prices Fruits Prices Fruits Prices Fruits Prices Fruits Prices
Pomegranates 16 32 | 17 34 | 19 38 | 18 36 | 15 30 |
Mangoes 60 36 | 45 27 | 15 9 | 30 18 | 75 45 |
Wood-apples 24 12 | 38 19 | 66 33 | 52 26 | 10 5 |
81-82. After 8 days, 21 1/11 ghaṭikās. 83. The meeting takes place
after 20 days when the travellers are at a distance of 40 yojanas from the
starting place. 84-85. 2 paṇas and 3 kākiṇīs. 86-87. 6, 14, 26, and
50 respectively. 88. The two persons stopping away after going
over 1 krośa receive 6 2/3 ; the three persons stopping away after going over
2 krośas get 22 1/2 ; and the five persons who go over 3 krośas receive 70 5/6 .
89-90. 12, 27, 47, 77, and 137 respectively. 91. 1 1/7 of a day.

96 ANSWERS
92. 4 jack-fruits. 93-94. 2 krośas and 3 krośas respectively.
95. 63. 96. 12 cubits. 97. 360. 98. 20 cows. 99. 36.
100. 9. 101. 25. 102. 24/5. 103(i). 40 ; 8/3. 103(ii). 0.
104-105. 2 paṇas and 2¾ kākiṇīs. 106. 29½. 107. 6¾. 108.
206158430208. 109. 93. 110. 252 paṇas. 111. 15 days. 112.
If the first traveller travel with speed 1 and acceleration 6 and meet
the second traveller for the first time after 10 days, then the second
meeting of the two travellers will occur 8 days after the first meeting.
113. The first man wins, the amount won being 48360. 114. The
second man wins, the amount won being 101⁷. 115. The second
man wins, the amount won being 25. 116(i). 165. 116(ii). 55.
117. 3025 ; 220. 118. 588. 119 699. 120. 986. 121.
2528. 122. 2¼ square cubits. 123. 15½ square cubits. 124.
5¼ square cubits. 125. 31 ⁴¹/₁₄₄ square cubits. 126. 12 square
cubits. 127. 16 square cubits. 128. 768 square cubits.
129-130. 46 ¹²⁷/₁₄₅₆ square cubits. 131. 3 square cubits ; 30 square
cubits. 132. 12 square cubits. 133. 35 square cubits.

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