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" Prob. 3. Find two numbers, the greater of which shall be to the less, as their sum to 42 ; and as their difference to 6. "
The student's algebra - Page 79
by John Darby (teacher of mathematics.) - 1829
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...::a;+5: Subtracting terms, (Art. 389, 6.) a;+ 1 : 4 : : a; + 5 : 8 Therefore 8*+8 = 4;c+20. And.v = 3. Find two numbers, the greater of which shall be to the less, as their sum to 42; and as their difference to 6. Let x and y= the numbers. By the conditions a; : y : : x +y :...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...7; by transposition, за? = 15; and x = 5 ; .'. у = x + 8 = 18, and the fraction is — . 18 4. Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6. Let x and у = the numbers ; then x : у : : x + у : 42, and...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...shown is to the true time as 29 to 105. Required the true time. • Ans. 8 hours, 45 minutes. Prob. 3. Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6, Ans. 32, and 24. Prob. 4. What two numbers are those, whose difference,...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...shown is to the true time as 29 to 105. Required the true time. Ans. 8 hours, 45 minutes. Prob. 3. Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6, Ans. 32, and 24. Prob. 4. What two numbers are those, whose difference,...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...subtraction, Зя — 8 = 7; by transposition, 3x =15; and лг = 5; =18, 5 and the fraction is — . 18 4. Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6. Let x and у = the numbers; then, x : у :: x+y : 42, and x :...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...x+5::*+5 :x + 13 Subtracting terms, (Art. 389, 6.) x + l : 4: '.x+5 : 8 Therefore 8* + 8=4*+20. And*=3. 3. Find two numbers, the greater of which shall be to the less, as their sum to 42 ; and as their difference to 6. • Let x and y= the numbers. By the conditions x : y '. '. x...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1832 - 408 pages
...whose difference, sum, and produet are as the numbers 2, 3 and 5 respectively ? Ans. 10 and 2. 10. Find two numbers, the greater of which shall be to the less аз their sum to 42, and as their difference to 6. Ans. 32 and 24. 11. A and В being at play, severally...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1835 - 356 pages
...: : x+5 : 8 Therefore i 8x+ 8=4*4-20. And x=3. x : y : x : y : : x-\-y : x - y 3. Find two number?, the greater of which shall be to the less, as their sum to 42 ; ami as their difference to 6. Let x and y= the numbers. By the conditions, And By equality...
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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 360 pages
...second, we obtain 3o; = 15; whence, x = 5, y=2x + 8 = 10 + 8 = 18. The fraction is therefore, T5. Io 2. Find two numbers the greater of which shall be to the less, as their sum is to 42, and as their difference is to 6. Let x and y be the numbers ; then, . x : y = x + y : 42, and,...
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The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842 - 306 pages
...difference as m : n ? Let x be the required number ; a + xm then, whence * = b — xn bm — an m + n (2) Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6. Let x be the greater, and y the less ; then, x : y : : x + y :...
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