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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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The popular educator, Volumes 5-6; Volume 8

Popular educator - 1854
...horse worth three times the 1st : what were the values of the two horses. Ans. 6, and 9. Prob. 25. It is required to divide the number 24 into two such...be to the quotient of the less part divided by the jreater, as 4 to 1. Ans. 16 and 8. Prob. 26. A cistern is to be filled with water from three different...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...greater and 2x= the difference, then, &c. Ans. 18 and 14. 2. It is required to divide the number 14 into two such parts, that the quotient of the greater part divided by the less may b? to the quotient of the less divided by the greater as 48 to 27. Let x = the greater, then 14 —...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 316 pages
...•+'+;/•• Prob. 7. 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. 21 and 28. Prob. 8. Divide the number a into two such parts,...
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The Popular Educator, Volume 6

1855
...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. 1 1 . What two numbers are as 5 to 4, the sum of whose cubes...
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The Popular Educator, Volume 5

1856
...horse worth three times the 1st : what were the values of the two horses. Ans. 6, and 9. Prob. 25. It is required to divide the number 24 into two such...divided by the greater, as 4 to 1. Ans. 16 and 8. Prob. 26. A cistern is to be filled with water from three different stop-cocks ; from the first it...
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Key to Davies' Bourdon: With Many Additional Examples, Illustrating the ...

Charles Davies - Algebra - 1856 - 224 pages
...whence, by the rule, x = 50 VT96"= 50 14 ; hence, ж = 64, x — 36, and у = 36, у = 64. 11. It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Let x and у denote the parts. From the conditions...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 268 pages
...at 6 per cent. Prob. 57. Divide the number 56 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 |. Ans. 35 and 21. Prob. 58. There is a number consisting of two digits,...
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A Theoretical and Practical Treatise on Algebra: In which the Excellencies ...

Horatio Nelson Robinson - Algebra - 1858 - 372 pages
....... : v ,<•. '-7 4: ^f* '.<,.- ^* -,./Y/ 5. >••'•"•'' 00 ELEMENTS OF ALGEBRA. 12. It is required to divide the number 24 into two such...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 I Ans. 16 and 8. 13. A certain...
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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...greater and 2 x= the difference, then, &c. Ans. 18 and 14. 2. 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 48 to 27. Let x = the greater, then 14 — x •= the less, and we have or...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...13. Divide 100 into two such parts, that the sum of theii 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 stun of two numbers...
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