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" 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. "
A Theoretical and Practical Treatise on Algebra: ... Designed for Schools ... - Page 147
by Horatio Nelson Robinson - 1858 - 360 pages
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...It is required to divide the number 14 into two such parts, that the quotient of the greater part, 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. A disposes of his...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...x+y : 42 From these last proportions, x — y= 8 And x+y=56. Hence, as=32,y=24. 2. Divide the number 14 into two such parts, that the quotient of the greater divided by the less, shall be to the quotient of the less divided by the greater, as 16 to 9. Let x= the greater part, and...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...4 Adding terms, a;: 18:: 5 : 9 Dividing terms, a;: 2 :: 5 : 1 Therefore, x=lO. 5. Divide the number 14 into two such parts, that the quotient of the greater divided by the less, shall be to the quotient of the less divided by the greater, as 16 to 9. By the conditions, —5 :...
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Text-book of arithmetic, for the use of teachers

John Hunter (of Uxbridge.) - 1847 - 266 pages
....v/30 : V270, ie vi : ^ :: 3 : 91 . 3 : 7 :: 9 : 21 f '*"*• EXERCISES. 1. Find two numbers such, that the quotient of the greater divided by the less may be 3£, and that thrice the greater multiplied by twice the less may give 650496. Ans. 616-and 176. 2....
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A Treatise on Algebra: In which the Principles of the Science are Familiarly ...

Samuel Alsop - Algebra - 1848 - 336 pages
...triangle and rectangle, 37e and 62í square rods respectively. Ex. 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 by the greater as 16 to 9. Ans. 8 and 6 Ex. 7. Bought a number of oxen for 1406-25 dollars, the number...
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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
...parts, that the squares of those parts may be in the ratio of 25 to 16. Prob. 5. Divide the number 14 into two such parts, that the quotient of the greater divided by the less, shall be to the quotient of the less divided by the greater as 16 to 9. Prob. 6. If the number 20 be...
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Examples in algebra

James Wharton - 1848 - 164 pages
...(58.) It is required to divide the number 24 into two such parts, that the 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 1. Ans. 16 and 8. (59.) A garrison of 1OOO men was victualled for...
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Algebraical Problems Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1849 - 486 pages
...sum of money taken out was JÊ3456. How many gentlemen 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 4 3 of the less divided by the greater as - to -. Ans. 28, and 21. 10. A detachment of soldiers from...
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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...: 6 From the first, . . x+y=56 From the second, . x — y=8 Hence, z=32, y=24 2. Divide the number 14 into two such parts, that the quotient of the greater, divided by the less, shall be to the less, divided by the greater, as 100 to 16. Let . x= the greater, and y= the less part,...
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Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...whence A traveled 72, and B 54 miles ; and the whole distance CD is 126 mileS. 3. Divide the number 49 into two such parts that the quotient of the greater...the quotient of the less divided by the greater, as f to £. 4. Divide the number 24 into two parts, whose squares shall be as 25 to 9. ANS. 15 and 9....
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