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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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Key to Davies' Bourdon: With Many Additional Examples, Illustrating the ...

Charles Davies - Algebra - 1856 - 224 pages
...480 x = 96 .'. value, £4.16s. 17. To divide the number 00 into four such parts, that if the first be increased by 2, the second diminished by 2, the...divided by 2, the sum, difference, product and quotient, so obtained, will be all equal to each other. Let x, у, z and it, denote the parts ; from the conditions...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...which equation we find z=24, Ans. 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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The Popular Educator, Volume 5

1856 - 428 pages
...What is the fraction ? Ans. /, . Prob. 49. Divide the number 90 into 4 such parts, that the first is increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall all be equal. Ans. 18, 22, 10, and 40. Prcb. 50. Find three numbers, such that the first with...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...we thus find the value of y. PROBLEMS. 1. 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 each to each. This problem may be easily solved by introducing a new unknown quantity....
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1860 - 412 pages
...what was its value? Ans. £4 16*. 17. To divide the number 90 into four such parts' that if the first be increased by 2, the second diminished by 2, the...by 2, the sum, difference, product, and quotient, so obtained, will be all equal to each other. Ans. The parts are 18, 22, 10, and 40. ' 18. The hour...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1861 - 322 pages
...x, y and i. Ans. x = 12, yr= 20, 2 = 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 each to each. This problem may be easily solved by introducing a new uuknown quantity....
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Algebra for Beginners: With Numerous Examples

Isaac Todhunter - Algebra - 1863 - 302 pages
...could it be filled by the other alone? 11. Divide the number 90 into four parts such that the first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2 may all be equal. 12. A person bought 30 pounds of sugar of two different sorts, and paid for it 19s....
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Elements of algebra

Robert Wallace - 1870 - 164 pages
...Divide the number 90 into four such parts that if the first be increased by 2, the second diminished 2, the third multiplied by 2, and the fourth divided...2, the sum, difference, product, and quotient shall all be equal. Ans. 18, 22, 10, and 40. 21. Divide the number 36 into three such parts that f the first,...
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Algebra for Beginners: With Numerous Examples

Isaac Todhunter - Algebra - 1872 - 350 pages
...the other alone ? 11. Divide the number 90 into four parts such that the first increased by 2, tho second diminished by 2, the third multiplied by 2, and the fourth divided by 2 may all be equal. 12. A person bought 30 Ibs. of sugar of two different sorts, and paid for the whole...
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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...children. 13. Given 4c + 3y-2 = 31, 3x-y-2z = Q and 45, to find x, y and z. 14. It is required to divide 90 into four such parts that if the first part be...2, the sum, difference, product and quotient shall all be equal. 15. There are three numbers such that their sums, taken two by two. are 11, 12 and 13,...
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