Key to Wells' Academic Algebra

Cover Key to Wells' Academic Algebra
Key to Wells' Academic Algebra
Webster Wells
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Let jr = the first digit.
Then, x > 4 = the second digit, and 2ar — 4 = the sum of the digits.
Also, 10a: + 2r — 4, or 11 a: — 4 = the number.
By the conditions, llg-4 ^y 2x-4 llar-4=Ux-28 3x = 24.
Whence, x= S, Therefore, 11 x — 4 = 84, the number required.
49. Let X = the second digit Then, 3x = the first digit, and 3 x — x, or 2 x = the difference of the digits.
Also, 30x + X, or Six = the number.
By the conditions, 2x 31ar + 3 = 82a:.
Whence, x = S.
Therefore, 31 or = 03, the number reqidre
...d.
%0, Let X = the number of bushels at 9 shillings.
Then, 40 — x = the number at 13 shillings.
Therefore, 9x= the cost in shillings of the first kind, and 13(40 -'x)=z the cost in shillings of the second kind.
CHAPTER Xm.— PAGES 126, 126. 146 By the conditions, 9z+13(40-a:) = 10x40 92r + 620-13a: = 400 4ar=120.
Whence, ir = 30, the number of bushels at shillings, and 40 — X = 10, the number at 18 shillings.
51. Let X = the number of ounces of gold.
Then, 4160 — a: = the number of ounces of silver.


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