Examples of the minus variety.
66. On adding together (a number of pigeons equivalent to) the square root of the (whole) collection of pigeons and (another number equivalent to the square root of the (whole) collection as diminished by 12, (exactly) 6 pigeons are seen (to be the result). What is (the numerical value of) that collection (of pigeons)?
67. The sum of two (quantities, which are respectively equivalent to the) square roots of the (whole) collection of pigeons and of (that same) collection as diminished by the cube of 4 , amounts to 16. How many are the birds in that collection ?
An example of the plus variety
68. The sum of the two (quantities, which are respectively equivalent to the ) square root (of the numerical value) of a collection of superior swans and (the square root of that same collection) a combined with 68, amounts to (62 - 2. Give out how many swans there are in that collection.
Here ends the Mālamiśra variety.
The rule relating to the Bhinnadŗśya variety (of miscellaneous problems on fractions)
69.[69] When one , diminished by the (given) fractional remainder (related to the unknown quantity), is divided by the product of the (specified) fractional parts (unrelated thereto), the result which is (thus) arrived at becomes the (required) answer in working out the Bhinnadŗśya variety (of problems on fractions).
Examples in illustration thereof.
70. One-eighth part of a pillar, as multiplied by the part (of that same pillar), was found (to be buried) in the sands ; of the pillar was visible (above). Say how much the (vertically measured) length of the pillar is.
69.^ Algebraically stated, . This is obvious from the equation .
