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" 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. "
Elements of algebra, compiled from Garnier's French translation of L. Euler ... - Side 228
av Charles Tayler - 1824
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 sider
...These equations reduced give a; =2, andy=2. The numbers required, therefore, are 2, 4, and 8. Prob. 3. There are three numbers in geometrical progression : The sum of the first and last is 52, and the square of the mean is 1 00. What are the numbers ? Ans. 2, 10, and 50. Prob. 4....
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 sider
...received 28 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 - 1824 - 550 sider
...difference 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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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 sider
...difference 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 - 1824 - 404 sider
...received 28 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 Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 sider
...These equations reduced give #=2, and «/=2. The numbers required, therefore, are 2, 4 and 8. Prob. 3. There are three numbers in geometrical progression : The sum of the first and last is 52, and the square of the mean is 100. What are the numbers ? Ans. 2. 10 and 50. Prob. 4. Of...
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Elements of Algebra

William Smyth - 1830 - 278 sider
...servants 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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Elements of Algebra

William Smyth - 1833 - 288 sider
...that the sum of the greater and the third proportional to the greater and less may be a minimum. 7. There are three numbers in geometrical progression, the sum of the first and last is 52, and the square of the mean is 100. What are the numbers ? Ans. 2, 10, and 50. 8. The sum...
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Treatise on the elements of algebra

James Bryce - 1837 - 322 sider
...6 = - -3 - , a 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=...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - 1840 - 634 sider
...-f xy)— (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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