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" B $300, and C $100. Prob. 12. Divide the number a into three such parts that the second may be m times as great as the first, and the third n times as great as the second. "
The Constructive arithmetic - Side 160
av James A. Christie - 1865
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 sider
...of the second set. But by the problem \5x = \QX + 35 ; Л by transposition, 5# = 35, and x = 7. 7. A Gentleman dying bequeathed a legacy of £140. to three servants. A was to have twice as much as В ; and В three times as much as C. What were their respective shares ? Let x = C"s share, Л 3#...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 sider
...transposition, 5x—35; and by division, x*=7, Prob. 10. A Gentleman dying bequeathed a legacy of 1400 dojlars to three servants. A was to have twice as much as B ; and K three times its much as C. What were their respective shares ? Let x=C's share, .•. 3a:=B's share,...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 sider
...quantity may be readily determined. Ex. 1 . Divide L. 400 among three persons, A, B, and C, so that A may have twice as much as B, and B three times as much as C. Let a; = C's share ; then, since B is to have three times as much, his share wiU be = 3* ; again, because...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - 1841 - 456 sider
...price of the second set. But by the problem 15# = 10# + 35 ; .'. by transposition, 5x = 35, and x = 7. A Gentleman dying bequeathed a legacy of £ 140. to three servants. A was to have twice as much as В ; and В three times as much as C. What were their respective shares ? Let x = C"s share, Л 3#...
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A Treatise on Algebra

Elias Loomis - 1846 - 376 sider
...products shall be a. a Ans. • — . m — n Prob. 11. A gentleman dying, bequeathed 1000 dollars tó three servants. A was to have twice as much as B, and В three times as much as C. What were their respective shares ? Ans. A received $600 ; В $300 ; and...
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A treatise on algebra, in theory and practice

James William M'Gauley - 1854 - 284 sider
...required number, therefore, is 5. (10) A, B, and C, three merchants, contribute £1,500. A contributes twice as much as B : and B, three times as much as C. What is the amount of each person's contribution ? C's share being the quantity with which the others are...
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Exercises and problems in algebra [by J. Pryde] with answers

James Pryde - 1855 - 136 sider
...as to the first; what did he give to each ? = 6, 12, 18, and 24 pence respectively. 13. A gentleman bequeathed a legacy of £140 to three servants. A was to have twice as much as B, and В three times as much as С ; what were their respective shares ? A's share = £84, B's = £42, and...
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Exercises and problems in algebra [by J. Pryde] with answers. without answers

James Pryde - 1855 - 70 sider
...times as much as to the first; what did he give to each ? 13. A gentleman bequeathed a legacy of i£140 to three servants. A was to have twice as much as B, and В three times as much as С ; what were their respective shares ? 14. Four merchants enter into a...
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A Treatise on Algebra

Elias Loomis - 1864 - 386 sider
...of the products shall be a. Ans. •i a m—n Prob. 11. A gentleman dying, bequeathed 1000 dollars to three servants. A was to have twice as much as B, and B three times as much as C. What \vere their respective shares ? Ans. A received $600, B $300, and C $100. Prob. 12. Divide the number...
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A Treatise on Algebra

Elias Loomis - 1868 - 386 sider
...difference of the products shall be a, Ans. . m—n Prob. 11. A gentleman, dying, bequeathed 1000 dollars to three servants. A was to have twice as much as B, and B three times as much as 0. What were their respective shares ? Ans. A received $600, B $300, and C $100. Prob. 12. Divide the...
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