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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 ; required the numbers. Ans. "
First Lessons in Algebra: In which the Elements of the Science are ... - Page 135
by Samuel Alsop - 1856 - 135 pages
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - Mathematics - 1806 - 526 pages
...the first ingot, 9 of the second, and 3 of the third. 19. If 11320 he divided into 3 parts such, that the sum of the first and second is to the sum of the second and third as 7 is to 9; ' and the difference of the first and second is to the sum of the first and third, as l...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...second of which is 9, and the sum of the first and third is 15. Required the numbers. Ans. 3, 6, 12. 9. There are three numbers in geometrical progression;...and second is to the sum of the second and third as i to 2. Required the numbers. Am. 2, 4, s. 10. There are three numbers in geometrical progression,...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...Ans. 25, and 15 yards. Prob. 7. 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. Prob. 7. The arithmetical mean of two number? exceeds the...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...Ans. 25, and 15 yards. Prob. 7. 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. Prob. 7. The arithmetical mean of two numbers exceeds the...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...Geometrical Progressions. 1 . 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. 2. There are six towns in the order of the letters, A,...
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Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824 - 350 pages
...ANS. ^5,825. 8s. 5±d. Ex. 7. There are three numbers in geometrical progression, whose sum is 52, and the sum of the first and second is to the sum of the first and third as 2 : 5. Required the numbers ? ANS. 't, 12, 36. Ex. 8. A bookseller being asked the...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1826 - 430 pages
...yards. Prob. 6. There are three numbers in arithmetical progression, whose sum is 21 ; and the sam 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, Prob. 7. The arithmetical mean of two numbers exceeds...
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A Treatise on the Elements of Algebra: Designed for the Use of Eton School

John Bayley (fellow of Emmanuel College, Cambridge.) - Algebra - 1830 - 428 pages
.... '. xy= 12 Also 3x + 3лу = Wxy . • . 3+3у2 = l0y, &c. y=3, The numbers are 4, 12, 36. *r*z~3 There are three numbers in geometrical progression,...and second is to the sum of the second and third as 1:2. Find the numbers. Let x, xy, xy' be the numbers, x+xy : xy+xyг :: 1 : 2 .'. 1+y : y +j^:: 1 :...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 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. Required the numbers! Ans. 5, 7, 9. 5. From two towns, which were 168 miles distant, two persons...
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Treatise on the elements of algebra

James Bryce - Algebra - 1837 - 322 pages
...than the last. How much had each? Ans. £120, £60, £30. 23. Of three continual proportionals the sum is 14, and the sum of the first and second is...third as 1 to 2. Required the numbers. Ans. 2, 4, 8. 24. From two towns 168 miles distant, two persons, A and B, set out to meet : A went 3 miles the first...
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