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" Find two numbers such that their difference added to the difference of their squares shall be 150, and their sum added to the sum of their squares shall be 330. 4. Find two numbers whose sum is equal to their product and also to the difference of their... "
The Normal Elementary Algebra: Containing the First Priniples of the Science ... - Page 228
by Edward Brooks - 1888 - 336 pages
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A Treatise on the Elements of Algebra: Designed for the Use of Eton School

John Bayley (fellow of Emmanuel College, Cambridge.) - Algebra - 1830 - 428 pages
...the square of the less, = 90. Let x = greater number And \/y= the less. The numbers are 10 and 3. 22. Find two numbers such that their difference, added to the difference of their squares, may be =14; and their sum added to the sum of their squares may be =26. The numbers are 4 and 2. 23....
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A Key, Containing the Statements and Solutions of Questions in Davies ...

Charles Davies - Algebra - 1844 - 110 pages
...becomes, 49 16 from which we find z=. 16, and, consequently, y=4. Hence, the numbers are 3, 4, and 5. 14. Find two numbers, such, that their difference, added to the difference of their squares, shall be equal to 150, and whose sum, added to the sum of their squares, shall be equal to 330. Let the -larger...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 302 pages
...be 49; and the product of the second and third, added to the sum of their squares, shall be 61. 14. Find two numbers, such, that their difference, added to the difference of their squares, shall be equal to 150, and whose sum, added to the sum of their squares, shall be equal to 330. la. It is...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1861 - 322 pages
...be 49 ; and the product of the second and third, added to the sum of theii squares, shall be 61. 14. Find two numbers, such, that their difference, added to the difference of their squares, shall be equal to 150, and whose sum, added to the sum of their squares, shall be equal to 330. 104; the...
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Algebra for Beginners: With Numerous Examples

Isaac Todhunter - Algebra - 1863 - 302 pages
...their squares shall make 32, and their sum multiplied into the sum of their squares shall make 272. 10. Find two numbers such that their difference added to the difference of their squares may make 14, and their sum added to the sum of their squares may make 26. 12. Find two numbers such...
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A school algebra to quadratic equations

Charles Mansford - 1875 - 110 pages
...difference is 13, and their difference taken from the sum of their squares is 26. Find the numbers. 7. Find two numbers such that their difference added to "the difference of their squares is ^j, and their sum added to the sum of their squares is 7^5•. 8. Divide 24 into two parts whose...
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Annual Report of the Commissioners ..., Volume 63

1897 - 534 pages
...2ax = J-. zSŁ + 7<A Ю marks. Appendix Section lit, IV. RxamilltUilill Question«. Male Teacheri 2. Find two numbers such that their difference added to the difference of their squares may make 14, and their sum added to the sum of their squares may make 26. 10 marks. 3. If *+- = !,...
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Text-book of Algebra: With Exercises for Secondary Schools and ..., Part 1

George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...number is 84, and is equal to the square of the second number increased by ten times the first. 3. Find two numbers such that their difference added to the difference of their squares shall be 150, and their sum added to the sum of their squares shall be 330. 4. Find two numbers whose sum...
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Secondary Algebra

George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 484 pages
...one diminished by 13 and the square of the other increased by 13 is 272. What are the numbers ? 3. Find two numbers such that their difference added to the difference of their squares shall be 150, and their sum added to the sum of their squares shall be 330. 4. Find two numbers whose sum...
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The Normal Elementary Algebra, Part 1

Edward Brooks - Algebra - 1901 - 248 pages
...calves were sold for $10 than sheep for $6 ; what was the price of each ? Ans. Calves, $2 ; sheep, $3. 13. Find two numbers such that their difference added...consequence of which each of the others had to pay $2 more than his proper share ; how many young men were there ? Ans. 14. 15. A merchant sold some cloth...
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