document.write( "Question 1029154: Hi, Can anyone solve this problem? The sum of three numbers is 9. The first minus the second, plus the third is 3. The first minus the third is 1 more than the second. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #644200 by MathTherapy(10552)\"\" \"About 
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Hi, Can anyone solve this problem? The sum of three numbers is 9. The first minus the second, plus the third is 3. The first minus the third is 1 more than the second. What are the numbers?
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Let the 1st, 2nd, and 3rd, be F, S, and T, respectively
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document.write( "Then we get the following:
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document.write( "                F + S + T = 9 ------ eq (i)
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document.write( "                F – S + T = 3 ------ eq (ii)
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document.write( "F – T = S + 1___F – S – T = 1 ------ eq (iii)
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document.write( "                       2T = 2 ------ Subtracting eq (iii) from eq (ii) 
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document.write( "T, or 3rd number = \"2%2F2\", or \"highlight_green%281%29\"\r
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document.write( "2F = 10 ---------- Adding eqs (iii) & (i)
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document.write( "F, or 1st number = \"10%2F2\", or \"highlight_green%285%29\"\r
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document.write( "5 + S + 1 = 9 ------- Substituting 1 for T, and 5 for F in eq (i)
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document.write( "6 + S = 9
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document.write( "S, or 2nd number = 9 – 6, or \"highlight_green%283%29\" \n" );
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