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" ... the quotient is 2 and the remainder 2. Find the numbers. Let x = the greater number, and y = the smaller number. Then 5^ = 4, and x From the solution of these equations x = 47, and y - 11. "
A School Algebra - Page 222
by George Albert Wentworth - 1890 - 495 pages
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New School Algebra

George Albert Wentworth - 1898 - 446 pages
...remainder 0.0057; but if the greater is divided by the smaller, the quotient is. 4 and the remainder 0.742. Find the numbers. Let . x = the greater number, and y — the smaller number. Then, *l x — 0.742 ... and - - - = 4. (2) .:y— 0.21 ж = 0..0057, (3) x_ 4 у = 0.742. (4) Multiply (3)...
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New School Algebra

George Albert Wentworth - Algebra - 1898 - 442 pages
...much money as B ; but if B gave A $100, B would have one third as much as A. How much has each '/ 4. If the greater of two numbers is divided by the / smaller, the quotient is 7 and the remainder 4 ; but if three times the greater number is divided by twice the smaller, the...
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New School Algebra

George Albert Wentworth - 1898 - 426 pages
...remainder 0.0057; but if the greater is divided by the smaller, the quotient is 4 and the remainder 0.742. Find the numbers. Let x - the greater number, and y = the smaller number. .-. y - 0.21 x - 0.0057, (3) x — 4 y = 0.742. (4) Multiply (3) by 4, 4 y - 0.84 x = 0.0228 (5) (4)...
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The Normal Elementary Algebra, Part 1

Edward Brooks - Algebra - 1901 - 248 pages
...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 number. Then, +y — a, and x—y — b. ,_. Whence x — 2 ab and - — • These formulas, expressed in ordinary...
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Elements of Algebra for Beginners

George Washington Hull - Algebra - 1904 - 172 pages
...-Remainder = Quotient then x= = 3 Divisor 80 - x 12. The sum of two numbers is 150, and if the larger is divided by the smaller, the quotient is 4 and the remainder is 5. Find the numbers. 13. A teacher spent \ of his salary for board and clothes, and ^ of the remainder...
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Elementary Algebra

George Albert Wentworth - Algebra - 1906 - 920 pages
...x in (4), 183 - у = - 54. Transpose and combine, — у = — 237. .-. у = 237. 4. If the larger of two numbers is divided by the smaller, the quotient is 4 and the remainder !) ; but if twenty times the smaller number is divided by twice the larger, the quotient is 2 and the...
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Elementary Algebra

George Albert Wentworth - Algebra - 1906 - 440 pages
...and the remainder 7. Find the numbers. 8. The sum of two numbers is 137, and if the greater number is divided by the smaller the quotient is 4 and the remainder 2. Find the numbers. 9. The difference between two numbers is 19, and if the greater number is divided...
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School Algebra

James William Nicholson - Algebra - 1909 - 332 pages
...other. What time is it ? SUM AND DIFFERENCE 132. The sum of two numbers is s and their difference is d. Find the numbers. Let x = the greater number, and y = the smaller number. Then x + y=s, (1) and x - y = d. (2) 2x = s + d. (3) (l)-(2) 2y = sd. (5) (5)+2, У=~. (6> л Formulas (4)...
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Elementary Algebra: first course

John Charles Stone, James Franklin Millis - Algebra - 1911 - 702 pages
...their quotient 7. What are the numbers ? 6. The difference between two numbers is 21, and if the larger is divided by the smaller, the quotient is 4 and the remainder 3. Find the numbers. 6. The value of a fraction is f , and if 7 be added to each term, the value of...
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Academic Algebra

George Wentworth, David Eugene Smith - Algebra - 1913 - 478 pages
...divided by the smaller, the quotient is 1.2 and the remainder 0.36. Find the numbers. 16. If the larger of two numbers is divided by the smaller, the quotient is 4 and the remainder 9 ; but if twenty times the smaller is divided by twice the larger, the quotient is 2 and the remainder...
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