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" The sum of two numbers is to their difference as 4 to 1, and the sum of their squares is to their product as 34 to 15. What are the numbers? "
A Theoretical and Practical Treatise on Algebra: ... Designed for Schools ... - Page 212
by Horatio Nelson Robinson - 1858 - 360 pages
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An Elementary Treatise on Algebra

Bewick Bridge - Algebra - 1818 - 254 pages
...ANSW. 24 and 16. Ex. 8. There are two numbers which are to each other in the duplicate ratio of 4 : 3, and 24 is a mean proportional between them. What are the numbers ? ANSWER, 32 and 18. d'—x' Ex.9., If — r— = 4a; shew that a + x : 2a :: 2¿ : a— x. It Ex....
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...20 and 1 6. 16. There are two numbers, which are to each other, in the duplicate ratio of 4 to 3 ; and 24 is a mean proportional between them. What are the numbers ? Ans. 32 and 18. 402. A list of the articles in this section which contain the propositions in the 5th book of Euclid.*...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 284 pages
...ANSW. 24 and 16. Ex. 8. There are two numbers which are to each other in the duplicate ratio of 4:3, and 24 is a mean proportional between them. What are the numbers ? ANSWER, 32 and 18. Ex.9. If a ~x =4a; shew that a + x : 2a :: 2¿ : ax. Ex. 10. If x' : y' :: 36...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...Ans. 20 and 16, 16. There are two numbers, which are to each other, in the duplicate ratio of 4 to 3 ; and 24 is a mean proportional between them. What are the numbers ? Ans. 32 and 18. 402. A list of the articles in this section which contain the propositions in the 5th book of Euclid.*...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 354 pages
...Ans. 20 and 16. 16. There are two numbers, which are to each other, in the duplicate ratio of 4 to 3 ; and 24 is a mean proportional between them. What are the numbers 1 Ans. 32 and 18. 402. A list of the articles in this section which contain the propositions in the...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...numbers'? Prob. 16. There are two numbers, which are to each other, in the duplicate ratio of 4 to 3; and 24 is a mean proportional between them. What are the numbers 1 CONTINUED GEOMETRICAL PROPORTION OR PROGRESSION. 358. When all the ratios of a series of proportionals...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...Jlns. 15 and 9. 9. There are two numbers which are to each other in the duplicate ratio of 4 to 3, and 24 is a mean proportional between them. What are the numbers 1 Jlns. 32 and 18. 10. There are two numbers which are to each other as 3 to 2. If 6 be added to the...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...tol. What are the numbers? Ans. 24 and 16. 12. There are two numbers, which are to each other as 16 to 9, and 24 is a mean proportional between them. What...difference as 4 to 1, and the sum of their squares is to their product as 34 to 15. What are the numbers? Ans. 15 and 9. 14. If the number 20 be divided into...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...Jlns. 15 and 9. 9. There are two numbers which are to each other in the duplicate ratio of 4 to 3, and 24 is a mean proportional between them. What are the numbers 1 Jlns. 32 and 18. 10. There are two numbers which are to each other as 3 to 2. If 6 be added to the...
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Key to Robinson's Algebras: Containing Also a Short Treatise on the ...

Horatio Nelson Robinson - Algebra - 1847 - 132 pages
...other answers are equally correct, and the problem is indeterminate. The problem corrected reads thus : The sum of two numbers is to their difference as 4...the sum of their squares is to the greater as 102 to 5f What are the numbers? Лпа. 15 and 9. Let x and у represent the numbers* Then, x-\-y : x —...
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