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" 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. "
A graduated series of exercises in elementary algebra - Page 61
by George Farncomb Wright - 1857
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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
...Arithmetical and 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 з to 4. Required the numbers. Ans, 5, 7, 9. creasing arithmetical progression. The distance from A...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...sides ? 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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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...Arithmetical and 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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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...sides ? 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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Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824 - 350 pages
...ANS. ^5,825. 8s. 5ħd. 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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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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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
...numbers are 4, 12, 36. *r*z~3 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 1:2. 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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Treatise on the elements of algebra

James Bryce - Algebra - 1837 - 322 pages
...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 to the sum...second and 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...
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