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" There are three numbers in geometrical progression, whose sum is 14; and the sum of the first and second is to the sum of the second and third as 1 to 2. "
A Treatise on the Elements of Algebra: Designed for the Use of Eton School - Page 71
by John Bayley (fellow of Emmanuel College, Cambridge.) - 1830 - 175 pages
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 320 pages
...the extremes ae 3 to 10. Required the numbers. 9. There are three numbers in progression by quotient, and the sum of the first and second is to the sum of the second and third as 1 to 2. What are these numbers? 10. There are three numbers in progression by difference, such that...
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Examples in algebra

James Wharton - 1848 - 164 pages
...so as to gain £10 per cent. on the whole? 22m - 21я Ans- or, — 1 Ji * eacii20m (m — n) (88.) There are three numbers in geometrical progression,...and second is to the sum of the second and third as 1 to 2 ; required the numbers. Ans. 2, 4, 8. (89.) A. and B. engaged to reap equal quantities of wheat,...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...$260. 2. What three numbers are there, each greater than the preceding, whose sum is 20, and such that the sum of the first and second is to the sum of the second and third, as 4 is to 5; and the difference of the first and second, is to the difference of the first and third,...
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A treatise on the elements of algebra, by G. Ainsworth and J. Yeats

G. Ainsworth - 1854 - 216 pages
...show that a : d : : a? : 63. 195. There are three numbers in geometrical progression whose sum is 6j, and the sum of the first and second is to the sum of the second and third as 1 to 3 : find the numbers. 196. A grazier bought a certain number of oxen for 80 guineas : if he had...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...question, we obtain z = 3, or 10. 4. There are three numbers in arithmetical progression, whose sum is 21 ; and the sum of the first and second is to the sum of the second and third as 3 to 4. Kequired the numbers. Ans. 5, 7, 9. 5. From two towns, which were 168 miles distant, two persons,...
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Exercises and problems in algebra [by J. Pryde] with answers. without answers

James Pryde - 1855 - 70 pages
...shares was to the difference between the mean shares as 37 to 12 ; what were their several shares ? and the sum of the first and second is to the sum of the third and fourth as 2 is to 18 ; what are the numbers ? 19. A debt can be discharged in a year of 52...
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Exercises and problems in algebra [by J. Pryde] with answers

James Pryde - 1855 - 136 pages
...? = £108, £144, £192, and £256. 18. The sum of four numbers in equirational progression is 200, and the sum of the first and second is to the sum of the third and fourth as 2 is to 18 ; what are the numbers ? = 5, 15, 45, and 135. 19. A debt can be discharged...
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First Lessons in Algebra: In which the Elements of the Science are ...

Samuel Alsop - Algebra - 1856 - 152 pages
...progression is 7, and the sum of their squares 21 . What are the numbers ? .ltns. 1, 2, and 4. Ex. 9. There are three numbers in geometrical progression,...and second is to the sum of the second and third as 1 to 2. Required the numbers. Ans. 2, 4, 8. Ex. 10. A number consists of three digits in arithmetical...
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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...question, we obtain x = 3, or 10. 4. There are three numbers in arithmetical progression; whose sum is 21; and the sum of the first and second is to the sum of the second and third as 3 to 4. Required the numbers. Ans. 5, 7, 9. 5. From two towns, which were 168 miles distant, two persons,...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...which is 9, nnd the sum of the first and third is 15. What are the numbers? Ans. 3, 6, and 12. 15. There are three numbers in geometrical progression,...and second is to the sum of the second and third as 1 to 2. What are the numbers ? Ana. 2, 4, and 8. 1C. There are three numbers in geometrical progression,...
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