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" Of three numbers in geometrical progression, the sum of the first and second exceeds the third by 3, and the sum of the first and third exceeds the second by 21. What are the numbers ? 15. "
A Higher Algebra - Page 280
by George Albert Wentworth - 1891 - 521 pages
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...shillings more than the worst. What were their daily wages ? Ans. 5, 7, and 9 shillings. 8. There are three numbers in geometrical progression ; the sum of the first and second of which is 9, and the sum of the first and third is 15. Required the numbers. Ans. 3, 6, 12. 9. There...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...between the third and fourth is 4 ; What are the numbers ? Ans. 54, 18, 6, and 2. Prob. 12. There are three numbers in geometrical progression ; the sum of the first and second of which is 9, and the sum of the first and third is 15. Required the numbers. Ans. 3, 6, 12. Prob....
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Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824 - 350 pages
...Find the sum of the series^ an~1 &c ..... +&n-* to w terms. ___ _ i-£ ab - ab' aa Ex. 5. There are three numbers in geometrical progression. The sum of the first and second is 15, and the sum of the first and last is 25. What are the numbers ? Let x= the first, and y —...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...between the third and fourth is 4 ; What are the numbers ? Ans. 54, 18, C, and 2. Prob. 12. There are three numbers in geometrical progression ; the sum of the first and second of which is 9, and the sum of the first and third is 15. Required the numbers. Ans. 3, 6, 12. Prob....
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...shillings more than the worst. What were their daily wages ? Ans. 5, 7, and 9 shillings. 8. There are three numbers in geometrical progression ; the sum of the first and second of which is 9> and the sum of the first and third is 15. Required the numbers. Ans. 3, 6, 12. 9- There...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...in geometrical progression ; the first had £90 more than the last. How much had each ? 4. There are three numbers in geometrical progression, the sum of the first and second of which is, 9, and the sum of the first and third is 15. Required the numbers. 5. The sum of three...
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...the solution is the system of values x = 9, and у = 36. 5. There are three numbers in equirational progression ; the sum of the first and second exceeds the third by 1, and 3 times the second is equal to twice the third : what are the numbers ? • Let x = the first,...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...(x* — xy)= 2xy = 2S; .-. xy= 14, or y=2, and their wages were 5, 7, and 9 shillings. 53. There are three numbers in geometrical progression ; the sum of the first and second of which is 9, and the sum of the first and third is 15. Required the numbers. Let x, xy, and xy1 be...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...be equal to the surface of the glass. Required the breadth of the frame. Ans. 4 inches. 8. There are three numbers in geometrical progression. The sum of the first and second is 10, and the difference of the second and third is 24. What are the numbers ? Ans. 2, 8, 32. 9. A...
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Examples in algebra

James Wharton - 1848 - 164 pages
...was 1938. How many were there in each nock ? Ans. 18, 24, 126, 1770, respectively. (83.) There are three numbers in geometrical progression, the sum of the first and second of which is 9, and the sum of the first and third is 1 5 ; required the numbers. Ans. 3, 6, 1 2. (84.)...
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