 The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? 24.  Elements of Algebra - Page 307by George Albert Wentworth - 1896 - 324 pagesFull view - About this book
 | Jeremiah Day - Algebra - 1820 - 352 pages
...And llI,r-99y-H98 = 100(*+y)+10*+(*— y)> Therefore x = 3, y = 1, and the number is 234. Prob. 6. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? Prob. 7. There are four numbers in arithmetical progression, whose sum is 28, and their continual... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...which substituting the value of x found above, and y = ± i ; hence the numbers are 1 1, g, 7, 5. 5. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? Supposing as before, x + зу, x + y, x — y, and x — зу, to be the numbers ; then 2tf* + 18... | |
 | Miles Bland - Algebra - 1824 - 404 pages
...276; by transposition, 20/ = 20; .•./=i; . and 'y — + 1 ; hence the numbers are П, 9, 7, 5. 5. The sum of the squares of the extremes of four numbers...is 200, and the sum of the squares of the means is 1 36. What are the numbers ? Supposing as before, x + 3y, x+y, x—y, and x - 3y, to be the numbers;... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...93y. By the conditions, lll*-99 y—26 i And lllx Therefore x=3, y=l, and the number is 234. Prob. 6. The sum of. the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? * Prob. 7. There are four numbers in arithmetical progression,-whose sum is 28 and their continual... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...is 28, and continued product 585. Ans. 1, 5, 9, 13. 5. The sum of the squares of the first and last of four numbers in arithmetical progression is 200, and the sum of the squares of the second and third is 136; find them. Ans. 2, 6, 10, 14. 6. Eighteen numbers in arithmetical progression... | |
 | Benjamin Peirce - Algebra - 1837 - 302 pages
...585. 17 f J ^ ?l An$- }' 5, 9' - * /-(*> ., - ~. ~ . 5. The sum of the squares/of the first and last of four numbers in arithmetical progression is 200, and the sum of the squares of the second and third is 136; find them. Ans. 2, 6, 10, 14. 6. Eighteen numbers in arithmetical progression... | |
 | Miles Bland - Algebra - 1841 - 456 pages
...256 + 2oy* = 276 ; by transposition, 20y' = 20; and y = ± 1 ; hence the numbers are 1 1, 9, 7, 5. 5. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? Supposing as before, x + 3у, x + y, x — y, and x — 3у, to be the numbers ; then 2 #' + 1sy'... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...— y, z, and a;-|-y, respectively. Then the number=100(a;-y)-|-10z-|-(a4-y)=lllz-99y, &c. Prob. 29. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers 1 Prob. 30. There are four numbers in arithmetical progression whose sum is 28, and their continued... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...x — y, x, and x-\-y, respectively. Then the number=100(xy)+ 10*+(a;-|-y)=lllz-99y, &c. Prob. 29. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers 1 Prob. 30. There are four numbers in arithmetical progression whose sum is 28, and their continued... | |
 | Benjamin Greenleaf - Algebra - 1852 - 348 pages
...progression is 15, and the sum of the third and fourth is 60. Required the numbers. Ans. 5,10,20,40. 73. The sum of the squares of the extremes of four numbers...squares of the means is 136. What are the numbers ? Ans. 14, 10, 6, 2. 74. A tailor bought a piece of cloth for ,£147, from which he cut off 12 yards... | |
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