## Algebraical Problems, Producing Simple and Quadratic Equations, with Their Solutions: Designed as an Introduction to the Higher Branches of Analytics |

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Pages à faire: 7, 8, 9, 10, 11, 12, 13, 14, 25, 26, 27, 32, 33, 34, 35, 36, 37, 40, 41, 42, 44, 46, 168, 172, 173, 175, 179, 180, 183 et 186.

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acres added addition afterwards answer arithmetical barley bought brandy bushels cent common completing the square consequently consisting contained cost crowns determined difference digits distance divided equal extracting the root feet find the values former four fourth fractions gain give Given greater guineas half Hence horses increased interest involving latter least length less Let the number lost miles minutes mixed multiplying negative number of gallons number of shillings paid pence person pieces pounds problem progression proportion received remaining Required the number respectively second equation sells share sheep shillings sold square root squaring both sides substituted subtraction supposing taken taking term third trade transposition travelled turkeys twice unknown quantity values of x weight whence whole wine x and y yards

### Popular passages

Page 24 - In one of the given equations obtain the value of one of the unknown quantities in terms of the other unknown quantity; Substitute this value in the other equation and solve.

Page 352 - Each man received one third as many shillings as there were persons relieved ; and each woman received twice as many shillings as there were women more than men. The men received all together 18s.

Page 358 - From two places at a distance of 320 miles, two persons, A and B, set out at the same time to meet each other. A travelled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day. How many miles did each travel, and how far per day ? 20.

Page 2 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.

Page 352 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished four times as many men as there were companies in the...

Page 356 - Is. ; for each of which I paid as many shillings per yard as there were yards in its side. Now had each of them cost as many shillings per yard as there were yards in a side of the other, I should have paid 17s.

Page 372 - A traveller set out from a certain place, and went 1 mile the first day, 3 the second, 5 the next, and so on, going every day 2 miles more than he had gone the preceding day. After he had been gone three days, a second sets out, and travels 12 miles the first day, 13 the second, and so on. In how many days will the second overtake the first?

Page 371 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.

Page 139 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.

Page 221 - A person bought some sheep for £. 72 ; and found that if he had bought 6 more for the same money, he would have paid £. 1 less for each. How many did he buy...