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" 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. "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Σελίδα 165
των Jeremiah Day - 1831 - 332 σελίδες
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A Treatise on Algebra

Elias Loomis - 1873 - 396 σελίδες
...— - — =-^ of the second. a— b a—b Prob. 45. Divide the number 45 into four such parts thai the first increased by 2, the second diminished by...2, and the fourth divided by 2, shall all be equal. In solving examples of this kind, several unknown quantities are usually introduced, but this practice...

An Elementary Algebra

Daniel Barnard Hagar - 1873 - 278 σελίδες
...to find x, y and z. 14. It is required to divide 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 by 2, the sum, difference, product and quotient shall all be equal. 15. There are three numbers such that...

The boys' algebra

James Cahill (of Dublin.) - 1875 - 230 σελίδες
...wages ; find how many days he was absent. 109. 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 divided by 2, the results may be all equal, n0. A flag staff is sunk in the ground one-sixth part of its length,...

New Practical Algebra: Adapted to the Improved Methods of Instruction in ...

James Bates Thomson - 1878 - 322 σελίδες
...84 minutes, and B and C in 140 min. How long will it take each to fill the cistern ? 7. Divide $90 into 4 such parts, that the first increased by 2,...2, and the fourth divided by 2, shall all be equal. 8. The sum of the distances which A, B, and C have traveled is 62 miles; A's distance is equal to 4...

Elementary algebra: with brief notices of its history

Robert Potts - 1879 - 672 σελίδες
...of the two smaller is •q times the greatest. Find the numbers. 6. Divide 27 into four parts such that the first increased by 2, the second diminished...multiplied by 2, and the fourth divided by 2, shall give equal results. 7. To find four numbers such that the sum of the first, second, and third shall...

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

Charles Davies - 1879 - 288 σελίδες
...-480 ж = 96 '. value, £4.1Ge. 17. To divide the number 90 into fo#r 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. Let x, y,...

Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 σελίδες
...greatest. Find the numbers. 6. Divide 27 into four parts such that the first increased by 2, the eecond diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall give equal results. 7. To find four numbers such that the sum of the first, second, and third shall...

The student's algebra

James Mackean - 1881 - 510 σελίδες
...+ y) + b(x — y) = 1. a(x — y) + b(x + y) = 1. (34.) Divide the number 90 into four parts, such that the first increased by 2, the second diminished...third multiplied by 2, and the fourth divided by 2, may all be equal. (35.) If a2 + 62 = l = e2 + d\ show that (ad - bc) (ad + bc) = (a — c)(a + c) yS...

Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 σελίδες
...2y — z = 20; 3x + 2y — z = 32. 9. Divide the number 90 into 4 parts, such 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 four quantities thus obtained shall be equal to each other. 10. Find the sum of the series (1)...

Test Problems in Algebra: Prepared to Accompany Ray's Mathematical Series

H. B. Furness, George W. Smith, Jacob Henry Bromwell - 1882 - 168 σελίδες
...into two such parts that their sum shall be to their difference as 3 to 2. 24. Divide 175 into four such parts that the first increased by 2, the second diminished by 3, the third multiplied by 4, and the fourth divided by 5, shall be equal to each other. 0 25. Divide...




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