 | Jeremiah Day - Algebra - 1820 - 352 pages
...equations, we have a; = 12, and y=4. The numbers required, therefore, are 8, 1 2, 1 6, and 20. Prob. 2. The sum of three numbers in arithmetical progression is 9, and the sum of their cubes is 1 53. What are the numbers ? Ans. 1 , 3, and 5. ^ Prob. 3- The sum of three numbers in arithmetical... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...equations, we have o:=12, and y=4. The numbers required, therefore, are 8, 12, 16, and 20. Prob. 2. The sum of three numbers in arithmetical progression is 9, and the sum of their cubes is 1 53. What are the numbers ? Ans. 1, 3, and 5. Prob. 3. The sum of three numbers in arithmetical... | |
 | Horatio Nelson Robinson - Algebra - 1844 - 184 pages
...problem.. We take, x— 3y=lst.~ 3r2=4 Therefore, x — %=8. y= 2 a; — y=12, &c., the answer. 2. The sum of three numbers in arithmetical progression is 9, and the sum of their cubes is 153. What are the numbers. (x— y)+(a;)+(z+y), or 3z=9, or z=3. And a^ — 3x*y-\-3xy* —... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...equations, we have 2:= 12, and y=4. The numbers required, therefore, are 8, 12, 16 and 20. Prob. 25. The sum of three numbers in arithmetical progression is 9, and the sum of their cubes is 153. What are the numbers ? j . j. 9 i Prob. 26. The sum of three numbers in arithmetical... | |
 | Jeremiah Day - Algebra - 1847 - 358 pages
...equations, we have x=lZ, and y=4. The numbers required, therefore, are 8, 12, 16, and 20. Prob. 2. The sum of three numbers in arithmetical progression is 9, and the sum of their cubes is 153. What are the numbers ? . Ans. 1, 3, and 5. Prob. 3. The sum of three numbers in arithmetical... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...equations, we have z=12, and y=4. The numbers required, therefore, are 8, 12, 16 and 20. Prob. 25. The sum of three numbers in arithmetical progression is 9, and the sum of their cubes is 153. What are the numbers ? Prob. 26. The sum of three numbers in arithmetical progression... | |
 | Cincinnati (Ohio). Board of Education - Cincinnati (Ohio) - 1874 - 322 pages
...added to the square of the second, shall equal the second part added to thelsquare of the first ? 2- The sum of three numbers in arithmetical progression is 9, and the sum of their reciprocals is f J; find the numbers. 3. Given 2x\/ l — j.—z'—x + l, to find a;. 4. A ladder... | |
 | George Albert Wentworth - Algebra - 1890 - 518 pages
...± 29 у = ± 29, or ± 36 Therefore the one garden is 36 feet square and the other 29 feet square. 8. The sum of two numbers is 22, and the difference of their squares is 44. Find the numbers. Let x = the greater number, y = the less number. * + У = 22 (1) x2-У2 = 44 (2) Divide (2) by (1),... | |
 | George Albert Wentworth - Algebra - 1891 - 380 pages
...will have 1093 square yards less than the two gardens united. What are the sides of the two squares ? 8. The sum of two numbers is 22, and the difference of their squares is 44. Find the numbers. 9. The difference of two numbers is 6, and their product exceeds their sum by 39. Find the numbers. 10. The... | |
 | Edward Olney - Algebra - 1870 - 114 pages
...the square of the second added to the product of the other two is 14. What are the numbers ? (50,) The sum of three numbers in arithmetical progression is 9, and the sum of their cubes is 153. What are the numbers ? Ans., 1, 3, and 5. (57.) The sum of three numbers in arithmetical... | |
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The sum of three numbers in arithmetical progression is 15; and the sum of the squares of the two extremes is 58. What are the numbers'? 