document.write( "Question 925595: Please help me on my homework on age problem on linear equation in one variable:....\"Six years ago Carl was three times as old as John.Eight years hence,four times Carl's age will be five times John's age.Find their present ages.\r
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Algebra.Com's Answer #561667 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let x be Carl's age and y be John's age, then \n" ); document.write( "(x-6) = 3*(y-6) \n" ); document.write( "4*(x+8) = 5*(y+8) \n" ); document.write( "first equation becomes \n" ); document.write( "x-6 = 3y-18 \n" ); document.write( "x - 3y = -12 \n" ); document.write( "x = 3y -12 \n" ); document.write( "substitute for x in second equation \n" ); document.write( "4*(3y-12+8) = 5y+40 \n" ); document.write( "12y-16 = 5y+40 \n" ); document.write( "7y = 56 \n" ); document.write( "y = 8, then use first equation \n" ); document.write( "x-6 = 3*(8-6) \n" ); document.write( "x-6 = 6 \n" ); document.write( "x = 12 \n" ); document.write( "therefore \n" ); document.write( "Carl is 12 and John is 8 \n" ); document.write( " \n" ); document.write( " |