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" Divide the number 24 into two such parts, that their product shall be to the sum of their squares, as 3 to 10. "
New Elementary Algebra: Designed for the Use of High Schools and Academies - Page 223
by Benjamin Greenleaf - 1879 - 336 pages
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1852 - 348 pages
...8 to the less, they will then be to each other as 6 to 5. What are the numbers ? Ans. 20 and 12. 5. Divide the number 60 into two such parts that their product shall be to the difference of their squares as 2 to 3. Ans. 40 and 20. . 6. I have two square house lots, which, together,...
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The Popular Educator, Volume 6

1855 - 424 pages
...difference, sum and product, are as the numbers 2, 3 and 6, respectively ? Prob. 12. Divide the number 24 into two such parts, that their product shall be to the sum of their squares as 3 to 10. Prob. 13. In a mixture of rum and brandy, the difference between the quantities of each...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...whose difference is 2a, and product b ? Ans. a± Va'+b, and — a± Va'+b. Prob. 4. It is required to divide the number 60 into two such parts that their product shall be 864. Let x = one of the parts. Then will 60— a; = the other part. And by the question, a; (60—...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...180, and the third 315 men. Prob. 39. Divide the number 60 into two such parts that their product may be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40. it from 10, and multiply the remainder oy the number itself, the product shall be 21. Ans. 7 or 3....
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The elements of algebra

Archibald Montgomerie - Algebra - 1857 - 116 pages
...of the greater shall exceed three times the square of the less by 95. Ans. 11, and 7. (15.) Divide 60 into two such parts that their product shall be...their squares in the ratio of 2 to 5. Ans. 20, and 40. (16.) Divide 225 into two such parts that the sum of their square roots shall be 21. Ans. 144, and...
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A Treatise on Elementary and Higher Algebra

Theodore Strong - Algebra - 1859 - 570 pages
...is /j _ о ¿s not greater than у --- 11. To divide the number or quantity 2л into two parts. such that their product shall be to the sum of their squares, in the ratio of m to n. Since the parts may be expressed by a + (c and a — ж, their product and the sum of their...
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Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - Algebra - 1859 - 368 pages
...was $• of the time till midnight ; what was the hour ? Ans. 48 min. past 4. 33. It is required to divide the number 60 into two such parts that their product shall be equal to 3 times the square of the less ; what are the parts ? Ans. 15 and 45. 34. How much wine at...
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Key to Dodd's Algebra: Containing All the Problems, and the More Difficult ...

James William Dodd - 1859 - 188 pages
...the problem, we have the Equation which will give z = 4A hours = 4/t. 48??i. 33. It is required to divide the number 60 into two such parts, that their product shall be equal to the square of the less. What are the parts ? Let x represent the less part ; then 60 — x...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...appeared that A had traveled 216 miles. How many miles did each travel per day 7 Ans. A, 36 ; B, 30. 18. Divide the number 60 into two such parts that their product shall be 704. Ans. 44 and 16. 19. A vintner sells 7 dozen of sherry and 12 dozen of claret for £50, and finds...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...How many ^ miles did each travel per day ? /*> • / rtf "•*•• _¿.ns. A, 36 ; B, ;¡0. _/ 18. Divide the number 60 into two such parts that their product shall be 704. f ù y - v ч г- 7 1 V Ans- 44 and 16. . 19. A vintner sells 7 dozen of sherry and 12 dozen of...
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