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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. "
Elements of Algebra - Side 174
1838 - 355 sider
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 348 sider
...of equal width, whose area is 448 square inches. What is the width of the frame ? Ans. 4 inches. 39. Divide 100 into two such parts that the sum of their square roots may be 14. Ans. 64 and 36. 40. A square court-yard has a rectangular gravel walk around it. The side of the court wants one yard...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - 1852 - 408 sider
...from 10, and multiply the remainder by the number itself, the product shall be 21. " Ans. 7 or 3. 8. 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. 9. Divide the number 346 into two such...
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Elements of Algebra: Including Sturm's Theorem

1853 - 380 sider
...whose difference, multiplied by the lesser, is equal to 12 ? . Ans. 4 and 7, or f f2 and y ^/~2. 3. To divide 100 into two such parts, that the sum of...to divide the number 24 into two such parts, that theirv product may be equal to 35 times their difference. Ans. 10 and 14. 5. The sum of two numbers...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1854 - 374 sider
...of equal width, whose area is 448 square inches. What is the width of the frame ? Ans. 4 inches. 39. Divide 100 into two such parts that the sum of their square roots shall be 14. Ans. 64 and 36. 40. A square court-yard has a rectangular gravel-walk around it. The side...
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The popular educator, Volumer 5-6;Volum 8

Popular educator - 1854 - 940 sider
...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 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

Elias Loomis - 1855 - 356 sider
...two such parts, that the sum of their square roots may be 14. Ans. 64 and 36. 2. Divide the number a into two such parts, that the sum of their square roots may be ft. 3. The sum of two numbers is 8, and the sum of their fourt> powers is 706. What are the numbers...
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The Elements of Algebra: Designed for the Use of Common Schools: Also ...

George Roberts Perkins - 1856 - 276 sider
...B.'s money, which was $50 more than A.'s, was in trade 5 months. What was A.'s stock ? Ans. $100. 14. It is required to divide the number 24 into two such parts, that their product may bo equal to 35 times their difference. What are the parts? Ans. 10 and 14. 15. A company at a tavern...
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Key to Davies' Bourdon: With Many Additional Examples, Illustrating the ...

Charles Davies - 1856 - 224 sider
...lower sign, p — — = -ps > substituting in (4), /144 t y = \/ -5- — 4 ; whence, x = ~. V У 10. Divide 100 into two such parts, that the sum of their square roots may be 14. Let x and у denote the parts. From the conditions, x+ у = 100 ... (1), ^ + Vy= 14 ... (2): squaring...
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The Elements of Algebra

Elias Loomis - 1856 - 280 sider
...the two numbers thus obtained shall be 300 ? Ans. 12 and 10, or 16 and 7£. Ex. 30. Divide the number 100 into two such parts that the sum of their square roots may be 14. Ans. 36 and 64. Ex. 31. From two places at a distance of 720 miles, two persons, A and B, set out at the...
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A Treatise on Elementary and Higher Algebra

Theodore Strong - 1859 - 570 sider
...often so represent whatever ia to be found, as immediately to obtain a pure quadratic. Thus, if we wish to divide 100 into two such parts, that the sum of their square roots may be 14 ; then if we represent the roots by 7 + x and 1-х, their sum will equal 14, and we shall get (7 +...
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