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" Of three numbers in geometrical progression, the sum of the first and second exceeds the third by 3, and the sum of the first and third exceeds the second by 21. What are the numbers ? 23. "
New School Algebra - Page 332
by George Albert Wentworth - 1898
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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...extremes being multiplied by the mean, the product is 30 ; what are the numbers ? Ans. l, 3, and 9. 10. Of three numbers in geometrical progression, the sum of the first and last is 52, and the square of the mean is 100; what are the numbers? Ans. 2, 10, 50. 11. There are...
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New University Algebra

Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...extremes is to the sum of the means as 7 to 3. What are the numbers ? Ans. 1, 3, 9, and 27. 9. There are three numbers in geometrical progression ; the sum of the first and second is 20, and the difference of the second and third is 30. What are the numbers ? Ans. 5, 15, 45. 10....
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A University Algebra

Edward Olney - 1878 - 360 pages
...can finish the job in 60 days. In how many days can each, separately, reap an acre ? 12. There are three numbers in geometrical progression, the sum of the first and second of which is 9, and the sum of the first and third is 15. Eequired the numbers. Sue's. — In solving...
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Key to Davies' Bourdon: With Many Additional Examples, Illustrating the ...

Charles Davies - Algebra - 1879 - 288 pages
...xz = у2 + 9y — 90; substituting in (1) we find у = 10 ; . • . x = 4, and z = 25. 38. There are three numbers in geometrical progression ; the sum of the first and second is 14, and the difference of the second and third is 15 : what are the numbers ? Let x, y and z denote...
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A University Algebra

Edward Olney - Algebra - 1880 - 354 pages
...can finish the job in GO days. In how many days can each, separately, reap an acre ? 12. There are three numbers in geometrical progression, the sum of the first and second of which is 9, and the sum of the first and third is 15. Keqiiired the numbers. Sue's.— In solving...
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Elements of Algebra

George Albert Wentworth - Algebra - 1881 - 400 pages
...remainder, and so on, what fraction of the whole will remain when this has been done five times ? 14. Of three numbers in geometrical progression, the sum of the first and second exceeds the first by 3, and the sum of the first and third exceeds the second by 21. What are the numbers ? 15....
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Elements of Algebra

George Albert Wentworth - Algebra - 1881 - 406 pages
...number. What is the number ? 24. A number is expressed by three digits. The sum of the digits is 21 ; the sum of the first and second exceeds the third by 3 ; and if 198 be added to the number, the digits in the units' and hundreds' places will be interchanged....
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A University Algebra: Comprising a Compendious, Yet Complete and Thorough ...

Edward Olney - Algebra - 1882 - 358 pages
...can finish the job in 60 days. In how many days can each, separately, reap an acre ? 12. There are three numbers in geometrical progression, the sum of the first and second of which is 9, and the sum of the first and third is 15. Eequired the numbers. BUG'S. — In solving...
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Elements of Algebra

George Albert Wentworth - Algebra - 1883 - 506 pages
...Substitute values, 1 = 1 (j)5. 14. Of three numbers in geometrical progression, the sum of the flrst and second exceeds the third by 3, and the sum of...third exceeds the second by 21. What are the numbers? Let ж = first of series, and r = ratio. Then rж = second term of series, and isX =. third term of...
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Shorter Course in Algebra

George Albert Wentworth - Algebra - 1886 - 284 pages
...number. What is the number ? 20. A number is expressed by three digits. The sum of the digits is 21 ; the sum of the first and second exceeds the third by 3 ; and if 198 be added to the number, the digits in the units4 and hundreds4 places will be interchanged....
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