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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 ... - Page 93
by John Bonnycastle - 1818 - 260 pages
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...product 36 ? Ans. 2 and 13. (9) To 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. ADS. 20 and 40. (10) The difference of two numbers is 3, and the difference of their cubes is 117....
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 544 pages
...<•>+?. (S) What two numbers are those whose sum is 20, and their product 36 ? Ans. 2 and 18. (9) To divide the number 60 into two such parts that their product may be to the sum of their squares in die ratio of 2 to 5. Ans. 20 and 40. (10) The difference of two...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...and product, are as the numbers 2, 3, and 5, respectively 1 Ans. 10 and 2. 12. Divide the number 24 into two such parts, that their product shall be to the sum of their squares, as 3 to 10. Ans. 18 and C. 13. In a mixture of rum and orandy, the difference between the quantities...
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The Elements of Algebra: Designed for the Use of Common Schools, Also ...

George Roberts Perkins - Algebra - 1848 - 234 pages
...between С and D ? Ans. 150 miles. 10. 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. 11. A grazier bought as many sheep as cost him $150, and after reserving 15 out of the number, he sold...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 pages
...240) = - 4 + V2/i6 = - 4 + 1C -- 12 = the less number, and x + 8 = 12 + 8 — 20 = the greater. 2. It is required to divide the number 60 into two such parts, that their product shall be 864. Let x = one part, then 60 — x = the other, hence x(60 -x)- 864, or 60x - x3 = 864, or x3 -60x=...
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A Theoretical and Practical Treatise on Algebra ...

Horatio Nelson Robinson - Algebra - 1848 - 354 pages
...cubes, is to the cube of their difference, as 61 to 1. What are the numbers? Ans. 20 and 16. 10. Divide 60 into two such parts, that their product shall be to the sum of their squares as 2 to 5. Jins. 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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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...difference, sum, and product, are as the numbers 2, 3 and 5, respectively I 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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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...they 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 1 5 to 34. Ans. 10 and 6. CONCLUSION. We conclude this volume by giving a general investigation...
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The Elements of Algebra: Designed for the Use of Common Schools: Also ...

George Roberts Perkins - Algebra - 1850 - 276 pages
...between C and D 7 Jlns. 150 miles. 10. 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. Jlns. 20 and 40. 11. A grazier bought as many sheep as cost him $150, and after reserving 15 out of...
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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - Algebra - 1851 - 288 pages
...before given, Therefore #=16_ 4 = 1 2, the less number, and x -f- 8 = 12 + 8 = 20, the greater. 2. It is required to divide the number 60 into, two such parts, that their product shall be 864. Let x = the greater part, Then will 60 — x = the less, And x (60 — a?) =.60a? —x 2 = 864,...
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