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" The sum of two numbers is a, and their difference is b; what are the numbers? Let x — the greater number, and  "
Intellectual Algebra, Or, Oral Exercises in Algebra: For Common Schools in ... - Page 113
by David Bates Tower - 1845 - 212 pages
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...number? whose product is 24, and the difference of their cuba : cube of their difference : : 19 : 1. What are the numbers. Let x= the greater number, and y= the lesser. Then, xy=24,and x3— y3 : (x—y)3 : : 19 : 1. By expansion, x3-y'J : x3—3x:ly+3xy3—y...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - Algebra - 1838 - 412 pages
...numbers whose product is 24, and the difference of their cubes : cube of their difference : : 19:1. What are the numbers ? Let x= the greater number, and y= the lesser. Then, zy=24, and x2— y2 : (x—y)2 : : 19 : 1. By expansion, x2 — y2 : x2 — 3x2y + 3xy2...
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Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...is to the greater as 7 to 5 ; and it' the sum be multiplied by the greater, the product will be 126. What are the numbers ? Let x = the greater number, and y the lesS. By the question, x + y : x : : 7 : 5, (1) and xy + y' = 126. (2) The value of x derived from...
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Intellectual Algebra, Or Oral Exercises in Algebra, for Common Schools ...

David Bates Tower - Algebra - 1853 - 228 pages
...added to three times the less is eleven, and three times the greater is ten more than twice the less. What are the numbers ? Let x = the greater number, and y = the less number. (1.) By one condition of the question, 2z-f-3y = 11. (2.) By another condition, 3z = 2y-|-10...
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Intellectual Algebra; Or, Oral Exercises in Algebra; for Common Schools ...

David Bates Tower - Algebra - 1855 - 238 pages
...() — 0 —~ o of z, for z, in 6th, . . ) (8.) Dividing 7th by 2, . . . y = 3, price of a leinon. An orange cost 4 cents, and a lemon 3 cents. 2. The...times the less is twenty-six. What are the numbers 1 Let z = the greater number, and y = the smaller number. (1.) By a condition of the question, . ....
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Exercises and problems in algebra [by J. Pryde] with answers

James Pryde - 1855 - 136 pages
...numbers exceeds the equirational mean by 13, and the equirational exceeds the harmonic mean by 12 ; what are the numbers ? Let x = the greater number, and y = the less ; then, by the question, 13 ...... (a), and L + 12 = v*y ...... (6). Multiplying the corresponding...
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Elements of Algebra

George Albert Wentworth - Algebra - 1881 - 400 pages
...and the result divided by the greater of the two numbers, the quotient is 2 and the remainder 2. Find the numbers. Let x = the greater number, and y = the smaller number. Then ^=-5 = 4, y and x + From the solution of these equations x = 47, and y = 11. Let x = number of...
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Shorter Course in Algebra

George Albert Wentworth - Algebra - 1886 - 284 pages
...and the result divided by the greater of the two numbers, the quotient is 2 and the remainder 2. Find the numbers. Let x = the greater number, and y — the smaller number. Then ÍÜZ-? _ 4, and From the solution of these equations, x = 47 and y = 11. Let x = number of dollars...
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The Normal Elementary Algebra: Containing the First Principles of the ...

Edward Brooks - Algebra - 1888 - 190 pages
...long would it last them both ? CASE IV. 1. The sum of two numbers is a, and their difference is b ; what are the numbers ? Let x = the greater number, and y = the smaller numher. Then, x+y = a, and x—y==b. a + b Whence x = and y = 2 a—b 2 These formulas, expressed in...
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A School Algebra

George Albert Wentworth - Algebra - 1890 - 518 pages
...times the greater number is divided by twice the smaller, the quotient is 11 and the remainder 4. Find the numbers. Let • x = the greater number, and y = the smaller number. Then, ï = 7 + i (1) У У 3£=ll + ± (2) 2y 2y From(l), x=7y + 4 (3) From (2), 3x=22y + 4 (4) 3X(3)is...
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