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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... "
An Introduction to Algebra: With Notes and Observations : Designed for the ... - Page 107
by John Bonnycastle - 1818 - 260 pages
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...What is the value of each horse 1 Prob. 5'2. Divide the number 90 into 4 such parts, that the . first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall all be equal. , If x, y and z, be three of the parts, the fourth will be 90 — x — y — z....
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 300 pages
...to find x, y Ans. x=12, y = 20, i;=30. 4. Divide the number 90 into four such parts that the first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall be equal to each other. This question may be easily solved by introducing a new unknown quantity....
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1849 - 534 pages
...what had he at first? Ans. 205. (35) To divide the number 90 into 4 such parts that if the first bo increased by 2, the second diminished by 2, the third...difference, product, and quotient shall be all equal to each other ? Ans. The parts are 18, 22, 10, and 40 respectively. (36) The hour and minute hand of...
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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - Algebra - 1851 - 288 pages
...had, and after this found he had but 12s. remaining; what'had he at first? Ans, 20s. 31. A hare is 50 leaps before a greyhound, and takes 4 leaps to- the...equal?' Ans. The parts are 18, 22, 10, and 40. 33. There are three numbers whose differences are equal, (that is, the second exceeds the first as much...
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Annual Report of the Commissioners ...

1851 - 382 pages
...f_L-V8j> V my'/ - „ . \x+y/ . „ . 6. Divide the number 90 into four such parts, that if the first is increased by 2, the second diminished by 2, the third...fourth divided by 2, the sum, difference, product and quo tient may be equal, . , , . Geometry and Mensuration. 1. Given the sum of the side and perpendicular...
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An Introduction to Algebra, and to the Solution of Numerical Equations

John Radford Young - 1851 - 266 pages
...ounces of pewter in a pound of it. (17) Divide the number 90 into four parts, such that if the first be increased by 2, the second diminished by 2, the...multiplied by 2, and the fourth divided by 2, the results may all be equal to one another. (1 8) A number consists of three digits of which the difference...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...7. Ans. 49 and 42. 69. It is required to divide the number 72 into 4 such parts, that if the first be increased by 2, the second diminished by 2, the...multiplied by 2, and the fourth divided by 2, the sum, tha difference, the product, and the quotient shall all bo equal. Ans. 14, 18, 8, and 32. Let the four...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...the value of the unreduced 40 quarts. 248-| 19. Divide 90 into four parts, such, that if the first be increased by * 2, the second diminished by 2, the third multiplied by 2, and the fourth 280s. divided by 2, the results may all be equal. Let the first part be x — 2 : this, increased by...
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The popular educator, Volumes 5-6; Volume 8

Popular educator - 1854 - 922 pages
...-19. Divide the number 90 into 4 such pnrts, that the first is increased by 2, the second diminMed by 2, the third multiplied by 2, and the fourth divided by 2, shall all be equal. Ans. 18, 22, 10, and 40. Prob. 50. Find three numbers, such that the first with...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...=-= ol the second. a— b a—b Prob. 45. Divide the number 45 into four such parts, that the first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall all be equal. In solving examples of this kind, several unknown quantities are usually introduced,...
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