document.write( "Question 650573: how would you write an equation for this problem and solve it:\r
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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 \n" );
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Algebra.Com's Answer #407352 by MathTherapy(10553)![]() ![]() 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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T, or 3rd number = \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and thank-yous to D at MathMadEzy@aol.com \n" ); document.write( " |