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American Comprehensive Arithmetic

American Comprehensive Arithmetic


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1897 Excerpt: ...quantities, the first step is to get one equation with one unknown quantity. This step may be taken by addition and subtraction, by substitution, or by comparison. By Addition And Subtraction . (3x--4w=10 1), i 214. J p ', find x and y. 6x-Sy = 20 (3) 6x + 9y = 54 (4) We may eliminate x by finding the value of x in terms of y in (1), and substituting this x _ JU-t-y value in (2). From (1), 3a; = 10 + 4?/, and x =--------; substituting this value of x in (3) (2), we obtain (3). Clearing (3) of fractions, and proceeding as 4 y) + 9 y = 54 usual, we obtain y = 2.. g y _)_ 9-y = 54 Substituting and proceeding as before, we obtain x = 6. x = 6 Find the values of x and y: 215. 216. 217. 218. 219. 220. 226. 2 3 Note.--In examples 220 and 220, the first step is to clear of fractions. 227.-A certain number expressed by two digits, is equal to 4 times the sum of those digits; if 27 is added to the number, the digits will be reversed. Find the number. Relations: units' digit + 10 times tens' digit = number; 4 (units' digit + tens' digit) = number; number + 27 = tens' digit + 10 times units' digit. Let x = units' digit, 6 y = tens' digit, 3 x + 10 y = number Let x = units' digit and let y = tens' 4x + 4y = number digit; then a; + 10y = the number, be, -, n ', -, N cause a number is equal to its units' ' x + 1 0 y = 4 x + 4 9 C1) digit + 10 times its tens' digit +.... + 10 y + 27 = y + 10 x (2) 4 a; + 4?/ = the number, because the y, __ g number is equal to 4 times the sum of its digits; x+10y = 4x + 4y, because y things equal to the same thing are equal Proop to each other; etc. 1. 4(3+ 6)= 36 2. 36 + 27 = 63 228. The sum of two numbers is 5 times their difference; twice the greater, increased by 4 times the less, is 56. Find the numbers. 229. A farme...


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Product Details
  • ISBN-13: 9781151877352
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 52
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1151877352
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 109 gr


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