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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 Academic Algebra - Page 231
by James Morford Taylor - 1893 - 338 pages
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...servants, and of dollars each took, .-. 2z2=3456, and x3=1728, .-. x=12, An». 182. 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 f . Ans. 28, and 21. Let x, and...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1841 - 456 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 - to -. Ans. 2s, and 21. 10. A detachment of soldiers from a regiment being ordered to march on a particular...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...squares of those parts may be to each other as 25 to 16. f -~. ) £', ft, Prob. 10. 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. -y " ' , Prob. 11. What two numbers...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 266 pages
...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. Prob. 11. What two numbers are as 5 to 4, the sum of whose cubes is 5,103 1 Prob. 12. Two travellers,...
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An Introduction to Algebra upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1844 - 280 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 | to £ . 29. A person put a certain sum...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...the squares of these parts may be in the proportion of 25 to 16. Jlns. 10 and 8. 6. 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 to 9....
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...brevity. The solution of one or two of the following problems will illustrate. 1. 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 : 9. Ans. The parts are 8 and 6. Let...
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An Elementary Treatise on Algebra: In which the Principles of the Science ...

Samuel Alsop - Algebra - 1846 - 300 pages
...areas of the triangle and rectangle, 37e and 62e square rods respectively. Ex. 6. 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 by the greater as 16 to 9. Лт. 8 and 6. Ex. 7. Bought a number...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...the squares of these parts may be in the proportion of 25 to 16. dm. 10 and 8. 6. 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 to 9....
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...may be to the quotient of the less divided by the greater, as -j to |. Prob. 8. Divide the number a 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 m to n. . a \/ m , Ans. — — and m...
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