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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. "
A Course of Mathematics: In Two Volumes. For the Use of Academies, as Well ... - Page 220
by Charles Hutton - 1818
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811
...which the first is to the third as 5 to 9, and the sum of all three is 63. Ans. 1 <, 21, 27. 22. It is required to divide the number 24 into two such...quotient of the less part divided by the greater, as 4 to I. Ans. 16 and 8. 23. A gentleman being asked the age of his two sons, answered, that if to the sum...
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 220 pages
...divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 12. It is required to divide the number 24 into two such parts, that their product may be equal to 35 times theix difference. Ans. 10 and 14. 13. The sum of two numbers...
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A Treatise on Algebra: In Practice and Theory, ... with Notes and ..., Volume 1

John Bonnycastle - Algebra - 1813 - 456 pages
...10, and then multiply the remainder by the numbpr itself, the product shall be 21. Ans. 7 or 3 3. It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14 4. It is required to divide...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 260 pages
...aijd then multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3. 3. It is required to divide the number 24 into two such parts, that their product shall be equal to 35 times their difference. Ans. 10 and 14 4. It is required to divide...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 332 pages
...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 - 438 pages
...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...divided by the less, may be to the quotient of the less divided by the greater as 16 : 9. Let x = the greater part ; .•. u — x = the less, , x 14 — x...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 618 pages
...required to divide the number 24 into' two such par.U, that the quotient of the greater part divided fay the less, may be to the quotient of the less part divided by the greater, as 4 to 1. . Ana. 16 and 8. 23. A gentleman being asked the age of his two sons, answered, that if to the sum...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan, Robert Adrain - Algebra - 1824 - 516 pages
...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...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...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 516 pages
...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...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...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 406 pages
...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...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 —...
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