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" It is required to divide the number 14 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 16 to 9. "
An Elementary Treatise on Algebra: Designed as First Lessons in that Science - Page 180
by Horatio Nelson Robinson - 1850 - 240 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...Divide the number 14 into two such parts, thaj; 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 14— x = the less. x 14 — x By the conditions. 77— : : :...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...12. 9. 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 - to -. Ans. 28, and 21. 10. A detachment of soldiers from a regiment being ordered to march on a particular...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...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 = the greater part ; .'. 14 — x = the less, x 14 -x and — : •: 16 : 9; • л . .'....
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...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. The parts are 8 and $(>. Prob. 15. What two numbers are those whose difference is to the...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...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. The parts are 8 and 16. Prob. 15. What two numbers are those whose difference is to the...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...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 cent. simple interest,...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1826 - 430 pages
...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. The parts are 8 and 6. Prob. 16. What two numbers are those whose difference is to the less, as 4 to 3 ; and their product,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...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 14— a-= the less, X 1 A m^ - »y By the conditions, •. ': ;16:9...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...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 cent. simple interest, and...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...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 to 9. • 4. Two persons A and B lay out some money on speculation. A disposes of his bargain for £1...
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