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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. "
An Introduction to Algebra, with Notes and Observations: Designed for the ... - Side 136
av John Bonnycastle - 1829 - 312 sider
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - 1811 - 220 sider
...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...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 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 Private Tuition

Charles Hutton - 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 - 1813 - 428 sider
...find a number such, that if you subtract it from 10, and then multiply the remainder by the numbpr itself, the product shall be 21. Ans. 7 or 3 3. It...number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14 4. It is required to divide a line, of 20...
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An Elementary Treatise on Algebra

Bewick Bridge - 1818 - 227 sider
...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 thesîora of their squares : : 3': 10. ANSWER, 18 and 6. Ex. 7. There are two numbers which are...
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A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - 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 Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 332 sider
...whose difference, sum, and product, are as the numbers 2, 3, and 5, respectively ? 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 1 0. Ans. 1 8 and 6. 13. In a mixture of rum and brandy, the difference...
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A Treatise on the Elements of Algebra

Bewick Bridge - 1821 - 227 sider
...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 are...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 312 sider
...divide the number 40 into two such. parts, that the sum of their squares shall be 818. Ans. 23 and 1 7. 2. To find a number such, that if you subtract it...length, into two such parts that the rectangle of (he whole and one of the parts shall be equal to the square of the other. Ans. 10^5-10, and 30—10^/5...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...two numbers is 6, and the sum of their 5th power л 105S ; what are the numbers ? Ans. 1 and 4. 21. 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. 22. A and B. set off at the same time to...
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