document.write( "Question 650573: how would you write an equation for this problem and solve it:\r
\n" ); document.write( "\n" ); document.write( "the sum of three numbers is 5. the first number minus the second plus the third is 1. the first minus the third is 3 more than the second. find the numbers
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Algebra.Com's Answer #407352 by MathTherapy(10553)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "how would you write an equation for this problem and solve it:\r
\n" ); document.write( "\n" ); document.write( "the sum of three numbers is 5. the first number minus the second plus the third is 1. the first minus the third is 3 more than the second. find the numbers\r
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\n" ); document.write( "\n" ); document.write( "Let 1st, 2nd, and 3rd numbers be F, S, and T, respectively
\n" ); document.write( "Then:
\n" ); document.write( "F + S + T = 5 ----- eq (i)
\n" ); document.write( "F – S + T = 1 ------ eq (ii)
\n" ); document.write( "F – T = S + 3 ----- F – S – T = 3 ----- eq (iii)
\n" ); document.write( "2F + 2T = 6 ------ Adding (ii) & (i) ----- F + T = 3 ----- eq (iv)
\n" ); document.write( "2T = - 2 ------ Subtracting (iii) from (ii)\r
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\n" ); document.write( "\n" ); document.write( "T, or 3rd number = \"%28-+2%29%2F2\", or \"highlight_green%28-+1%29\"\r
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\n" ); document.write( "\n" ); document.write( "F – 1 = 3 ----- Substituting – 1 for T in eq (iv)
\n" ); document.write( "F, or 1st number = 3 + 1, or \"highlight_green%284%29\"\r
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\n" ); document.write( "\n" ); document.write( "4 + S – 1 = 5 ------- Substituting 4 for F, and – 1 for T in eq (i)
\n" ); document.write( "S + 3 = 5
\n" ); document.write( "S, or 2nd number = 5 - 3, or \"highlight_green%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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