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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. Required the numbers! Ans. 5, 7, 9. "
First Lessons in Algebra: In which the Elements of the Science are ... - Page 133
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
...gallons, and the horary influx 120 gallons. X. Problems in Arithmetical and Geometrical Progressions. 1. THERE are three numbers in arithmetical progression,...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
...and their areas are as 25 to 9. What are the lengths of the sides ? Ans. 25, and 15 yards. Prob. 7. There are three numbers in arithmetical progression,...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
...aad their areas areas 25 to 9. What are the lengths of the sides ? Ans. 25, and 15 yards. Prob. 7. There are three numbers in arithmetical progression,...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
...the numbers. Ans. 3, 6, 12. 9- 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. 2, 4, 8. 10. There are three numbers in geometrical progression,...
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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
...and their areus are as 25 to 9. What are the lengths of the sides ? Ans. 35, and 15 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....
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...(a; -f- 6) — 3l — = the distance he travels. Resolving the question, we obtain z = 3 or 10. 4. There are three numbers in arithmetical progression,...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
...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 of the 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...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - Algebra - 1838 - 412 pages
...and their areas are as 25 to 9. What are the lengths of the sides ? Ans. 25, and 15 yards. PROB. 6. There are three numbers in arithmetical progression, whose sum is 21 ; and the sum of the first ami second is to the sum of the second and third as 3 to 4. Required the numbers. Ans. 5, 7, 9. PROB....
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