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

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Algebraical Problems, Producing Simple and Quadratic Equations, With Their ... Miles Bland No preview available - 2017 |

### Common terms and phrases

A's money addition answer the conditions arithmetical progression brandy bushels casks completing the square contained cost difference digits distance Divide the number equation involving equation of fractions extracting the root extracting the square find the values gain gallons of brandy geometrical progression Given 3x greater guineas least common multiple length less Let 2x Let the number Multiplying both sides Multiplying every term number of acres number of days number of gallons number of miles number of pounds number of shillings number of yards paid pence pieces problem proportion quantity of brandy quotient received Required the number second equation sheep sherry sold square root square yards squaring both sides Substituting this value subtraction third three numbers tiple transposition travelled turkeys unknown quantity values of x wheat whence whole number wine x²-2xy+y² x²+y² x²y xy²

### Popular passages

Page 14 - 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 350 - 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 356 - 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 350 - 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 354 - 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 370 - 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 369 - 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 137 - 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 219 - 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...