document.write( "Question 1050652: When a really smart kid was asked about his mother's age, he said: \"i am a fifth as old as my mother. In six years i will be one third as old\"
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document.write( "How old iss the kid and his mother? \n" );
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Algebra.Com's Answer #666218 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Son = 1/5Mother \n" ); document.write( "S+6 = 1/3(M+6) Substitute for Son \n" ); document.write( "1/5M+6 = 1/3(M+6) \n" ); document.write( "1/5M+6 = 1/3M+2 \n" ); document.write( "1/5M = 1/3M-4 \n" ); document.write( "1/5M-1/3M = -4 \n" ); document.write( "3/15M-5/15M = -4 \n" ); document.write( "-2/15M = -4 Divide both sides by 2/15 and remember -/- = + \n" ); document.write( "M = -4/(-2/15) To divide by fraction invert and multiply \n" ); document.write( "M = (4*15)/2 \n" ); document.write( "M = 30 The mother is 30 years old \n" ); document.write( "S = 1/5M = 1/5*30 = (1*30)/5 = 6 The son is 6 years old \n" ); document.write( "--------------------------- \n" ); document.write( "Check:In 6 years \n" ); document.write( "30+6 = 36 \n" ); document.write( "6+6 = 12 \n" ); document.write( "1/3 of 36: 1/3*36 = (1*36)/3 = 12 Correct \n" ); document.write( ": \n" ); document.write( "John \n" ); document.write( " |