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" The sum of the first and second of four numbers in geometrical progression is 15, and the sum of the third and fourth is 60. Required the numbers. "
A Practical System of Algebra: Designed for the Use of Schools and Private ... - Page 305
by Peter Nicholson - 1831 - 309 pages
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...я? = 68 — y' = 6s — 4 = 64, and x = ± 8, and л the numbers are ± н, ± Ю, ± 6, ± 2. 6. The sum of the first and second of four numbers in...the third and fourth is 60. Required the numbers. Let x, xy, xy1, xy3, be the numbers ; .-. x + xy — is, and xy'' + xy' = 60, or y' . (x + xy) = 60,...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...whence лг2 = 68 - у2 = 68 - 4 = 64, and x = ± 8, and .'. the numbers are ±14, +10, +6, + 2. 6. The sum of the first and second of four numbers in...the sum of the third and fourth is 60. Required the number«. Let x, xy, xy*, xy*, he the numbers; .'. x +xy= 15, and xy2 + xy3 = 60, or y2 . (лг + xy)...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...on more ground than the less by 9 square yards. What was the price of each? Ans. j£25 and 16. 29. The sum of the first and second of four numbers in...fourth is 60. Required the numbers. Ans. 5, 10, 20, 40. 30. The sum of three numbers in geometrical progression is 13, and the product of the mean and...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...whose sum is 31. and the sum of the first and last is 26What are the numbers ? Ans. l, 5, and 25. 9. The sum of the first and second of four numbers in...progression is 15, and the sum of the third and fourth 60. What are the numbers ? Ans. 5, 10, 20, 40. 10. The sum of four numbers in geometrical progression...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 332 pages
...whose sum is 31, and the sum of the first and last is 26.What are the numbers ? Ans. 1, 5, and 25. 9. The sum of the first and second of four numbers in geometrical progression is 15, and the sunr of the third and fourth CO. What are the numbers ? Ans. 5, 10, 20, 40. 10, The sum of four numbers...
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Treatise on the elements of algebra

James Bryce - Algebra - 1837 - 322 pages
...Questions in Progression. 1 . Four numbers are in geometrical progression ; the num of the first and second is 15, and the sum of the third and fourth is 60. Required the numbers. Let x, xy, хуг, xy3, be the numbers ; then x-\-xy= 15, er y that is, 15/ = 60: hence, у = ±2,...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1841 - 456 pages
...whence x* = 68 — y' = 6s — 4 = 64, and x = ± 8, and Л the numbers arc ± 14, ± \o, ± 6, ± 2. 6. The sum of the first and second of four numbers in...the third and fourth is 60. Required the numbers. Let x, xy, xy', xy", be the numbers ; .'. x + xy = \5, and xy' + xy' — 60, or у* . (x + xy) = 60,...
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A Universal Key to the Science of Algebra: In which Some New Modes of ...

Horatio Nelson Robinson - Algebra - 1844 - 184 pages
...Or, &r2= Now, the two middle numbers are 3 and 9. Therefore, 1, 3, 9, 27, are the numbers. 3. The sum of four numbers in geometrical progression, is 15, and the sum of their squares is 85. What are the numbers ? Let, x-+x+y+y- =15=a. 1 Assume, x+y=s. yx ! And xy=p. A...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...(246.) PROBLEMS. Prob. 1. Of four numbers in geometrical progression, the sum of the first and second is 15, and the sum of the third and fourth is 60. Required the numbers. Let x, xy, xy', xy1, be the numbers. Therefore, x + xy = 15, and xy* + xy* = 60. Multiplying the first...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...(246.) PROBLEMS. Prob. 1. Of four numbers in geometrical progression, the sum of the first and second is 15, and the sum of the third and fourth is 60.. Required the numbers. Let x, xy, xy\ xy', be the numbers. Therefore, a; + xy = 15, and xy- + xf = 60. Multiplying the first...
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