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" It is required to divide the number 24 into two such parts, that the quotient of the greater part divided by the less, may be to the quotient of the less part divided by the greater, as 4 to 1. "
Examples in algebra - Page 104
by James Wharton - 1848
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...squares of these parts may be in the proportion of 25 to 16. / 3. 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. • 4. Two persons A and B lay out some money on speculation. A...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1831 - 660 pages
...of which the first is to the third as 5 to 9, and the sum of all three is 63. Ans. 15, 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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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 2Q. 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. 21. The sum of two numbers...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 4. 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. 5. The sum of two numbers...
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Elements of Algebra

William Smyth - Algebra - 1836 - 288 pages
...parts may he in the proportion of 25 to 16. Ans. 10 and 8. 3. 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 loss divided by the greater as 16 to 9. Ans. 8 and 6. . 4. Two persons A and B lay out some money on...
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Elements of Algebra

Algebra - 1838 - 372 pages
...To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 4. 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. 5. The sum of two numbers...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 14. It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their dif1 ference. Ans. 10 and 14. 15. The sum of two numbers...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...then by the question (10— x)x=2l, or я?— 10z= — 21. Whence ж=5±(25— 21)= б±2=7 or 3. 13. It is required to divide the number 24 into two such parts, that their product shall be equal to 35 times their difference. Let x and у be the two parts ; then by...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1841 - 456 pages
...were there ? Ans. 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. 2s, and 21. 10. A detachment of soldiers from a regiment being...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36 14. 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. 15. The sum of two numbers...
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