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" 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. "
A Course of Mathematics: For the Use of Academies, as Well as Private ... - Page 248
by Charles Hutton - 1831
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Elements of Algebra

Algebra - 1838 - 358 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 - 636 pages
...then by the question (10— x)x=2l, or я?— 10z= — 21. Whence ж=5(25— 21)= б2=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 - 438 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 - 258 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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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 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: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 pages
...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...divided by the less, may be to the quotient of the less, divided by the greater, as 16 to 9. Jlns. 8 and 6. 7. Two persons, A and B, lay out some money on speculation....
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An Introd. to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1844 - 276 pages
...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 f to -. 29. A person put a certain sum to interest for 5 years, at 6 per...
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Elements of Algebra: Being an Abridgement of Day's Algebra Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1844 - 272 pages
...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. ,' Prob. 11. What two numbers are as 5 to 4, the sum of whose cubes...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 368 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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