document.write( "Question 30008: tutors will you please help me with this problem I can't figure it out and this is my last one,
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document.write( " Two years ago,Kelli was three times as old as Tif was then. In 5 years Kelli will be only twice as old as Tif. How old is each now?In 5 years? and 2 years ago?
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document.write( " Kelli now-
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document.write( " Tif now-
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document.write( " Kelli in 5 years-
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document.write( " Tif in 5 years-
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document.write( " Kelli 2 years ago?
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document.write( " Tif 2 years ago? \n" );
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Algebra.Com's Answer #16754 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! Let K = Kelli 's age now \n" ); document.write( "Let T = Tif's age now \n" ); document.write( "Two years ago, Kelli's age = K-2 \n" ); document.write( "Two years ago, Tif's age = T-2 \n" ); document.write( "Five years from now, Kelli's age = K+5 \n" ); document.write( "Five years from now, Tif's age = T+5 \n" ); document.write( "[1] K - 2 = 3(T - 2) \n" ); document.write( "[2] K + 5 = 2(T + 5) \n" ); document.write( "There are two equations with two unknowns, so I can solve them \n" ); document.write( "Subtract 7 from both sides of [2] \n" ); document.write( "K + 5 - 7 = 2(T + 5) - 7 \n" ); document.write( "K - 2 = 2T + 10 - 7 \n" ); document.write( "K - 2 = 2T + 3 \n" ); document.write( "Subtract this equation from [1] \n" ); document.write( "0 = 3(T - 2) - (2T + 3) \n" ); document.write( "Add (2T + 3) to both sides \n" ); document.write( "2T + 3 = 3(T - 2) \n" ); document.write( "2T + 3 = 3T - 6 \n" ); document.write( "Subtrtact 2T from both sides \n" ); document.write( "3 = T - 6 \n" ); document.write( "Add 6 to both sides \n" ); document.write( "T = 9 \n" ); document.write( "Substitute this age for T in [1] or [2] \n" ); document.write( "In [1] \n" ); document.write( "K - 2 = 3(T - 2) \n" ); document.write( "K - 2 = 3(9 - 2) \n" ); document.write( "K = 21 + 2 \n" ); document.write( "K = 23 \n" ); document.write( "check these answers by substituting in [2] \n" ); document.write( "K + 5 = 2(T + 5) \n" ); document.write( "23 + 5 = 2(9 + 5) \n" ); document.write( "28 = 2 * 14 \n" ); document.write( "28 = 28 \n" ); document.write( "it checks \n" ); document.write( "Substitute in [1] \n" ); document.write( "K - 2 = 3(T - 2) \n" ); document.write( "23 -2 = 3(9 - 2) \n" ); document.write( "21 = 3 * 7 \n" ); document.write( "21 = 21 \n" ); document.write( "checks \n" ); document.write( "Tif's age now is 9 \n" ); document.write( "Kelli's age now is 23 \n" ); document.write( "Tif in 5 years \n" ); document.write( "T + 5 = 14 \n" ); document.write( "Kelli in 5 years \n" ); document.write( "K + 5 = 28 \n" ); document.write( "Tif 2 years ago \n" ); document.write( "T - 2 = 7 \n" ); document.write( "Kelli two years ago \n" ); document.write( "K -2 = 21 \n" ); document.write( " |