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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 Treatise on the Elements of Algebra - Side 118
av Bewick Bridge - 1821 - 227 sider
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - 1811 - 230 sider
...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 Treatise on Algebra, in Practice and Theory: With Notes and ..., Volum 1

John Bonnycastle - 1813 - 456 sider
...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 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 - 254 sider
...THEOR. 1, 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 to...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 284 sider
...shall be equal to the square of the other. Ans. 10^/5-10 5. 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. Ans. 20 and 40 6. It is required to divide the number 146 into such two parts,...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 326 sider
...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 20 inches...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 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 between the quantities...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 336 sider
...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 20 inches...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 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 10. Ans. 18 and 6. 13. In a mixture of rum and brandy, the difference between the quantities...
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Algebraic exercises

Henry Ottley - 1828 - 140 sider
...x2— 60z +900=36. (Extract the root,) and x— 30 =6, or x=36. Ans. the numbers are 24 and 36. 3. Divide the number 24 into two such parts, that their product shall be 35 times their difference. Let x=one part, then 24— x= the other, and 24 — 2x=the difference. Then...
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