This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1851 Excerpt: ... the first part may be 3 feet less than the second, and the second 5 feet more than the third. (11) It i3 required to find two numbers whose difference is 6, such that if one-third the less be added to one-fifth the greater, the sum shall be equal to one-third the greater diminished by one-fifth the less. (12) A and B perform a piece of work in 6 days which A alone can do in 9 days: in how many days can B alone do it? (13) A detachment of soldiers march from a certain place at the rate of 2i miles an hour, and two hours afterwards another detachment marching at the rate of 3 J-miles an hoar is sent to overtake them: how far must they march to do this? (14) A gamester at play lost £ of his money, and then won 10.: he afterwards lost-£ of what he then had and won 3. making his money just 3 guineas: how much had he at first? (15) A garrison of one thousand men was victualled for 25 days, but after nine days 250 men were removed: how long will the provisions last those who remain? (16) A person has three debtors, A, B, and C, whose debts he only so far remembers that A's and B's amounted to £60, A's and C's to £80, and B's and C's to £92: what was the exact debt of each? (17) Suppose that for every 10 sheep a farmer keeps he should plough an acre of land, and allow one acre of pasture for every 4 sheep: how many sheep may he keep who farms 700 acres? (18) A person has two sorts of spirits, one worth £1 a gallon and the other worth 12.; and he wishes to make from these a gallon worth 14.: how much of each must he take? (19) Two persons, A and B, have the same annual income: A lays by the fifth part of his; but B, by spending £80 a year more than A, at the end of 4 years finds himself £220 in debt: what is the annual income...
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