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" Divide the number 14 into two such parts, that the quotient of the greater divided by the less, shall be to the quotient of the less divided by the greater as 16 to 9. "
A Treatise on Algebra: In which the Principles of the Science are Familiarly ... - Page 146
by Samuel Alsop - 1848 - 318 pages
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The Popular Educator, Volumes 5-6; Volume 14

Geography - 1867 - 878 pages
...other as 1..*. S. aM. 11. a' - ЗаР - (»« 25 to 16. • в. a. 12- a3-3a»Vb-f Sat ") V —1* 8. It is required to divide the number 14 into two such parts 2. a-. 7. a. that the quotient of the greater divided by the less, may be to . || m -1 л IE" r™...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
..., 4a; = 5x118 — x). And a; = 10. Prob. 10. It is required to divide the number 14 into two *tich parts, that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater, as 16 : 9. • Ans. The parts are 8 and 6. Prob. 1 1 . What two numbers are...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...181#S = 724 ; .'. X* = 4, and x = ± 2, and consequently, the numbers are ± 12, ± 16, and ± is. 7. It is required to divide the number 14 into two such parts that the quotient of the greater part divided by the less, may be to the quotient of the less divided by the greater as 16 : 9. Let...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...represent the numbers; then (36 and x = + 2, and consequently, the numbers are ± 12, + 16, and ± 18. 7< It is required to divide the number 14 into two such parts that the quotient of the greater part divided by the less, may be to the quotient of the less divided by the greater as 16 : 9Let x...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...the proportion of i, |) and | ; the sum of whose squares is 724. Ans. ±12, ±16, and ±18. Prob. )4. It is required to divide the number 14 into two such parts, that the quotient of the greater part, divided by the less, may be to the quotient of the less divided by the greater as 16:9. Atrs....
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...the proportion of i, f, and | ; the sum of whose squares is 724. Ans. ±12, ±16, and ±18. Prob. 14. It is required to divide the number 14 into two such parts, that the quotient of the greater part, divided by the less, may be to the quotient of the less divided by the greater as 16:9. Ans....
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...people, giving some 9d. and the rest l5d. each. How many were there of each ? 28. Divide the number 49 into two such parts, that the •quotient of the greater...divided by the less, may be to the quotient of the less divided by the greater as 4 to |. 29. A person put a certain sum to interest for five years, at 6 per...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...tberefote the positive numbers б and 9 are taken for the respective rates per hour of A aud B. EXAM. VI. It is required to divide the number 14 into two such parts that their product shall be 50. So/a. Let x = one part ; then 14 — x = the other part ; Hence, by the...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...(Art. 391,) o::18 — *::5: 4 Adding terms, *:18::5: 9 Dividing terms, x: 2::5: 1 Therefore, x = 10 5. Divide the number 14 into two such parts, that the quotient of the greater divided by the less, shall be to the quotient of the less divided by the greater, as 16 to 9. Let x= the greater part, and...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...people, giving some 9d. and the rest 15d. each. How many were there of each ? 28. Divide the number 49 into two such parts, that the quotient of the greater...divided by the less, may be to the quotient of the less divided by the greater as i to |. 29. A person put a certain sum to interest for 5 years, at 6 per...
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