document.write( "Question 1014391: *The sum of 5% of one number and 4% of a second number is 44. The sum of 4% of the first number and 5% of the second number is 46. Find the numbers.
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Algebra.Com's Answer #630708 by MathTherapy(10810)\"\" \"About 
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\n" ); document.write( "*The sum of 5% of one number and 4% of a second number is 44. The sum of 4% of the first number and 5% of the second number is 46. Find the numbers.
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Let 1st number be F, and 2nd, S
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document.write( "We then get: .05F + .04S = 44 ------- eq (i)
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document.write( "Also,        .04F + .05S = 46 ------- eq (ii)
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document.write( "              .2F + .16S = 176 ------ Multiplying eq (i) by 4 ------- eq (iii)
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document.write( "            - .2F - .25S = - 230 ---- Multiplying eq (ii) by - 5 ---- eq (iv)
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document.write( "                  - .09S = - 54 ----- Adding eqs (iii) & (iv)
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document.write( "        S, or 2nd number = \"%28-+54%29%2F%28-+.09%29\", or \"highlight_green%28600%29\"
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document.write( "         .04F + .05(600) = 46 ------- Substituting 600 for S in eq (ii)
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document.write( "               .04F + 30 = 46
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document.write( "                    .04F = 46 - 30
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document.write( "                    .04F = 16
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document.write( "        F, or 1st number = \"16%2F.04\", or \"highlight_green%28400%29\" \n" );
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