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" Eequired the numbers. 6. The sum of three numbers in geometrical progression is 35, and the mean term is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 7. The sum of £ 14 was divided between three persons, whose shares... "
A first book of algebra, including the binomial theorem - Page 206
by William Rossiter - 1867
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...= ± — , . 5 120 whence x = = зо. or 160, y + 2 and the sums are 120, бо, and 30 pounds. 17. The sum of three numbers in geometrical progression...term is to the difference of the extremes as 2 to 3. Required the numbers. Д? Let -, x, and xy, be the three numbers ; x .: - + x + xy = 35, У , x and...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
....'. _y = 2, or — - ; whence x = = 3O, or 1б0, y+2 and the sums are 120, 60, and 30 pounds. 17 . The sum of three numbers in geometrical progression...term is to the difference of the extremes as 2 to 3. Required the numbers. Let -, т, and xy, be the three numbers ; У .-. ~ + т + xy = 35, У x ' and...
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The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful ...

Enoch Lewis - Algebra - 1826 - 180 pages
.... will arise, whence a36. The sum of three numbers in geometrical progres sion is 35, and the mean is to the difference of the extremes as 2 to 3; what are the numbers ? Ans. 5, 10, and 20. 37. The sum of three numbers in geometrical progression is 13, and the product...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...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 numbers in geometrical progression...term is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 6. The sum of £14 was divided between three persons, whose shares...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...in geometrical progression is 15, and the sum of the third and fourth 60 : what are the numbers ? 6. The sum of three numbers in geometrical progression...difference of the extremes as 2 to 3 : what are the numbers ? MISCELLANEOUS INVESTIGATIONS. A few particulars connected with that portion of algebra to which the...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...first and second of which is 9, and the sum of the first and third is 15. Eequired the numbers. 6. The sum of three numbers in geometrical progression...term is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 7. The sum of £ 14 was divided between three persons, whose...
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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...first and second of which is 9, and the sum of the first and third is 15. Kequired the numbers. 6. The sum of three numbers in geometrical progression...term is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 7. The sum of £ 14 was divided between three persons, whose...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...first received $90 more than the last. How mauy dollars did each receive ? Ans. $120, $60, and $30. 9. The sum of three numbers in geometrical progression...difference of the extremes as 2 to 3. What are the numbers ? Ans. 5, 1 0, and 20. 10. There are three numbers in geometrical progression, the greatest of which...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...the first two is 1^, and the sum of the next two is 12. Find the series. Ans. £, 1, 3, 9, etc. 13. The sum of three numbers in geometrical progression is 35, and the mean is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 14. There are...
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The University Algebra

John Fair Stoddard, William Downs Henkle - Algebra - 1866 - 546 pages
...first received $9O more than the last. How many dollars did each receive ? Ans. $120, $60, and $30. 9. The sum of three numbers in geometrical progression is 35, and the mean term is to tlie difference of the extremes as 2 to 3. What are the numbers \ Ans. 5, 10, and 20. 10. There are...
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