CHAPTER IV-MISCELLANEOUS PROBLEMS (ON FRACTIONS). 81 56. Four times the square root of the number of a collection of boars went to a forest wherein tigers were at play; 8 times the square root of of the remaindler (of the collection) went to a mountain; and 9 times the square root of of the (further) remainder (left thereafter) went to the bank of a river; and hoars equivalent in (numerical) measure to 56 were seen (ultimately) to remain (where they were in the forest. Give out the (numerical) measure of (all) those (boars). Thus ends the msamula variety. The rule relating to the Bhayasumvargu varicty (of miscol- laneous problems on fractions) :- 57 From the (simplified) denominator of the specified compound fractional part of the unknown collective quantity). divided by its own (related) numerator (also simplified), subtract four times the given known part (of the quantity) then multiply this (resulting difference) by that same (simplified) denominator (dealt with as above) The square root (of this product) is to be added to as well as subtracted from that (same) denominator (so dealt with); (then) the half (of either of these (two quantities resulting as sum or difference is the unknown) collective quan- tity (required to be found out) Examples in illustration thereof. 58 A cultivator obtained (first) of a heap of paddy as mul- tiplied by (of that same heap); and (then) he had 24 vähas (left in addition). Give out what the measure of the heap is 59. One-sixteenth part of a collection of peacocks as multiplied by itself, (2.e., by the same , part of the collection), was found 56. The word sardilarkridata in this stanza means tigeis at play,' and at the same time happens to be the name of the metie in which the stanza is composed. ng + - [ ny mp 2 57. Algebraically stated x = n" casily be obtained from the equation - the fractions conteinplated in the lule. -tee - x x n P 9 ng mp and this value of a may
m P -0, where and dle 9 n
