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" It is required to divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. "
An Introduction to Algebra: With Notes and Observations : Designed for the ... - Side 93
av John Bonnycastle - 1818 - 260 sider
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1863 - 432 sider
...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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A Treatise on Algebra

Elias Loomis - 1864 - 386 sider
...numbers are those whose difference is 2a, and product b 1 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—x — the other part. And by the question, a;(60—x)—60x—a;'=864....
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1864 - 444 sider
...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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A mathematical course for the University of London. (2nd)

Thomas Kimber - 1865 - 302 sider
...а ± + - {3 а« + Ь* + у'а* + 6* — 6 а« Ь*}*. PROBLEMS PBODUCING QUADRATIC EQUATIONS. (1) Divide the number 60 into two such parts, that their...to the sum of their squares in the ratio of 2 to 5. (В.4. 1857.) Let x and (60 — z) be the parts. Then x (60 — <e) : ж* + (60 — x)* : : 2 : 5 by...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for High ..., Del 2

Joseph Ray - 1852 - 422 sider
...What two numbers are those whose sum is 20 and product 36 ? Ans. 2 and 18. 6. Divide the number 15 into two such parts that their product shall be to...sum of their squares, in the ratio of 2 to 5. Ans. 5 and 10. 7. Find a number such, that if you subtract it from 10, and multiply the remainder by the...
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New Elementary Algebra: Containing the Rudiments of Science for Schools and ...

Horatio Nelson Robinson - 1866 - 328 sider
...remainders will be to each other as 1 to 4 ; what are the numbers ? Ans. 5 and 8. 7. Divide the number 16 into two such parts, that their product shall be to the sum of their squares as 15 to 34. Ans.- 10 and 6. 8. There are two numbers whose product is 320, and the difference of their...
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Elements of Algebra: For Colleges, Schools and Private Students

Joseph Ray - 1866 - 420 sider
...arithmetical sense: 5. What two numbers are those whose sum is 20 and product 36? Ans. 2 and 18. 6. Divide 15 into two such parts that their product shall be to the sum of their squares as 2 to 5. Ans. 5 and 10. 7. Find a number such, that if you subtract it from 10, and multiply the...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1872 - 436 sider
...Ans. 20 and 16. NOTE.— In the last example, put x+y = the greater, ana x—y = the less. 10. Divide 60 into two such parts, that their product shall be to the sum of their squares as 2 to 5. Ans. 40 and 20. 11. There are two numbers which are to each other as 3 to 2. If 6 be added...
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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - 1874 - 340 sider
...remainders will be to each other as 1 to 4 ; what are the numbers ? Ans. 5 and 8. 7. Divide the number 16 into two such parts, that their product shall be to the sum of their squares as 15 to 34. Ans. 10 and 6. 8. There are two numbers whose product is 320, and the difference of their...
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The Complete Algebra: Designed for Use in Schools, Academies, and Colleges

Joseph Ficklin - 1874 - 446 sider
...results will be in the ratio of 1 to 4. "What are the numbers? Ans. 5 and 8. 6. Divide the number 27 into two such parts that their product shall be to the sum of their squares as 20 is to 41. Ans. 12 and 15. 7. Two numbers are in the ratio of 3 to 2. If 6 be added to the greater...
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