document.write( "Question 1079104: Gabby is 1 year more than twice Larry's age. 3 years from now, Megan will be 27 less than twice Gabby's age. 4 years ago, Megan was 1 year less than 3 times Larry's age. How old will Megan be 3 years from now?
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document.write( "I'm having trouble with the equation. \n" );
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Algebra.Com's Answer #753245 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! G = Gabby's age now \n" ); document.write( "L = Larry's age now \n" ); document.write( "M = Megan's age now \n" ); document.write( " \n" ); document.write( "Gabby is 1 year more than twice Larry's age: \n" ); document.write( "G = 2L + 1 \n" ); document.write( " \n" ); document.write( "3 years from now, Megan will be 27 less than twice Gabby's age: \n" ); document.write( "M + 3 = 2(G + 3) - 27 \n" ); document.write( " \n" ); document.write( "Substitute G with 2L + 1: \n" ); document.write( "M + 3 = 2((2L + 1) + 3) - 27 \n" ); document.write( " \n" ); document.write( "Simplify the above: \n" ); document.write( "M + 3 = 4L - 19 \n" ); document.write( " \n" ); document.write( "Solve for L: \n" ); document.write( "4L = M + 22 \n" ); document.write( " \n" ); document.write( "L = (M + 22)/4 \n" ); document.write( " \n" ); document.write( "4 years ago, Megan was 1 year less than 3 times Larry's age: \n" ); document.write( "M - 4 = 3(L - 4) - 1 \n" ); document.write( " \n" ); document.write( "Simplify the above: \n" ); document.write( "M - 4 = 3L - 13 \n" ); document.write( " \n" ); document.write( "Solve for M: \n" ); document.write( "M = 3L - 9 \n" ); document.write( " \n" ); document.write( "Substitute L with (M + 22)/4: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Simplify above: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Solve for M: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "4M = 3M + 30 \n" ); document.write( " \n" ); document.write( "M = 30 \n" ); document.write( " \n" ); document.write( "M = Megan's age now = 30 \n" ); document.write( " \n" ); document.write( "How old will Megan be 3 years from now? \n" ); document.write( " \n" ); document.write( "M + 3 = 30 + 3 = 33 \n" ); document.write( " \n" ); document.write( "Megan will be 33 three years from now. \n" ); document.write( " \n" ); document.write( "--------------------------------------------------- \n" ); document.write( "Just for kicks, their ages now:\r \n" ); document.write( "\n" ); document.write( "Megan = 30 \n" ); document.write( "Larry = 13 \n" ); document.write( "Gabby = 27 |