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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. "
Key to Davies' Bourdon: With Many Additional Examples, Illustrating the ... - Page 92
by Charles Davies, M. Bourdon (Louis Pierre Marie) - 1856 - 205 pages
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 220 pages
...To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 12. It is required to divide the number 24 into two such...parts, that their product may be equal to 35 times theix difference. Ans. 10 and 14. 13. The sum of two numbers i* 8; -uul the sum' of their cubes is...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811
...of which the first is to the third as 5 to 9, and the sum of all three is 63. Ans. 1 <, 21, 27. 22. 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...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1812
...progression, of which the first is to the third as 5 to 9,and the sum of all three is 63? Ans. 15, 21,27. 22. 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...
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - Algebra - 1813
...from 10, and then multiply the remainder by the numbpr itself, the product shall be 21. Ans. 7 or 3 3. It is required to divide the number 24 into two such...product may be equal to 35 times their difference. Ans. 10 and 14 4. It is required to divide a line, of 20 inches in length, into two such parts, that...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 260 pages
...10, aijd then multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3. 3. It is required to divide the number 24 into two such parts, that their product shall be equal to 35 times their difference. Ans. 10 and 14 4. It is required to divide a line, of...
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A Course of Mathematics ...: For the Use of Academies, as Well as ..., Volume 1

Charles Hutton - Mathematics - 1818
...which the first is to the third as 5 to 9, and the sum of all three is 63 ? Ans. 15, 21, 27. 22. lt 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...
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An Elementary Treatise on Algebra

Bewick Bridge - Algebra - 1818 - 227 pages
...18 x (x-yY = 7'2, or (xy)*=4 ; .:xy = 2. Again, x1— and 4xy =96. _12_ .. r~~ > but xy =2; Ex. 6. To divide the number 24 into two such parts, that their product shall, be to thes๎ora of their squares : : 3': 10. ANSWER, 18 and 6. Ex. 7. There are two numbers...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 227 pages
...THEOR. 1, 18 x(x— j/)'=72, Again, x*—2xу+у'=4, and 4xy =96. or ж+^=ю,| but x— y=2 ; Ex. 6. To divide the number 24 into two such parts, that their product shall be to the sum of their squares : : 3 : 10. : ANSWER, 18 and 6. Ex. 7. There are two numbers which...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 312 pages
...from 10, and then multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3 3. It is required to divide the number 24 into two such parts, that their product shall be equal to 35 times their difference. Ans. 10 and 14 4. It is required to divide a line, of...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...2.п/+у*= 100, or extracting the root дг+y = but x* + 2.n/+y= lOO, }ia . . , = = 2 -*, — 8 — У 2 6. It is required to divide the number 24 into two such parts, that their product shall be to the sum of their squares :: 3 : 1O. Ans. 18 and 6. 7. There are two numbers which are to...
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