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" To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the sum, difference, product, and quotient so obtained, will be all equal to each other. "
An elementary course of practical mathematics - Page 58
by James Elliot - 1850
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 284 pages
...of the hare's how many leaps must the greyhound take to catch the hare ? Ans. 300 32. It is required to divide the number 90 into four such parts, that if the first part be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...value triple that of the first : what is the value of each horse ? Ans. one 30l. and the other 402. 64. To divide the number 90 into four such parts that if the first be increased by Z, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the sum, difference}...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...(гх + эх + 4x =) vx = зб. and x = 4 ; .-. the parts are 8, 12, and 16. 86. Divide the number 116 into four such parts, that if the first be increased by 5, the second diminished by 4, the third multiplied by 3, and the fourth divided by 2, the result in each case shall...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...one-fourth of the third, shall be equal to each other, Ans. 8, 12, and 16. Prob. 69. Divide the number 116 into four such parts, that if the first be increased by 5, the second diminished by 4, the third multiplied by 3, and (he fourth divided by 2, the result in each case shall...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...+ 3,г + 4лг = ) QIC = 36, and x= 4; .'. the parts are 8, 12, and 16. 86. Divide the number 1 16 into four such parts, that if the first be increased by 5, the second diminished by 4, the third multiplied by 3, and the fourth divided by 2, the result in each case shall...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...one-fourth of the third, shall be equal to each other, Ans. 8, 12, and IG. Prob. 69. Divide the number 116 into four such parts, that if the first be increased by 5, the second diminished by 4, the third multiplied by 3, and the fourth divided by 2, the result in each case shall...
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Glasgow Mechanics' Magazine, and Annals of Philosophy, Volume 2

Industrial arts - 1825 - 490 pages
...lost. remaining. or, 12 x = 12, and x = 1 ; Therefore, 28 x = 28«. money at first. 2. It is required to divide the number 90 into four such parts, that if the first be increased by 2 ; the second diminished by 2; the third multiplied by 2; and the fourth divided by 2 ; the sum, difference,...
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Elements of Algebra

Silvestre François Lacroix - Algebra - 1825 - 294 pages
...value triple that of the first : what is the value of each horse Ans. one 301. and the other 401. 64. To divide the number 90 into four such parts that if the first be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the sum, difference,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...$ of tbc second, and ^ of the third, may be equal to each. 165. — To divide the number 90 into 4 such parts that if the first be increased by 5, the second diminished by 4, Ihe third multiplied by 3, and the fouith divided by 2, the result iu card .••<:-,;...
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A Treatise on the Elements of Algebra: Designed for the Use of Eton School

John Bayley (fellow of Emmanuel College, Cambridge.) - Algebra - 1830 - 428 pages
...find x. хГ-а'+^-а) — b Вut x* — a*-i-(x — a) = x + a . • . x+a = b . • . x = b — a. Divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by two, the third multiplied by 2, and the fourth divided by 2, the result...
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