document.write( "Question 171937: ten years ago, a man was 3 times as old as his son. in 6 years, he will be twice as old as his son. how old is each now? \n" ); document.write( "
Algebra.Com's Answer #127047 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=son's age now; \n" ); document.write( "x-10=son's age ten years ago; \n" ); document.write( "x+6=son's age in 6 years \n" ); document.write( "And let y=man's age now; \n" ); document.write( "y-10=man's age ten years ago; \n" ); document.write( "y+6=man's age in 6 years\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we are told the following: \n" ); document.write( "y-10=3(x-10)= \n" ); document.write( "y-10=3x-30= \n" ); document.write( "3x-y=20----------------eq1 \n" ); document.write( "and \n" ); document.write( "y+6=2(x+6)= \n" ); document.write( "y+6=2x+12= \n" ); document.write( "2x-y=-6------------------eq2 \n" ); document.write( "subtract eq2 from eq1: \n" ); document.write( "x=26----------------------------son's age now \n" ); document.write( "substitute x=26 into eq1: \n" ); document.write( "3*26-y=20= \n" ); document.write( "78-y=20 \n" ); document.write( "-y=-58 \n" ); document.write( "y=58-------------------man's age now\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "58-10=3(26-10) \n" ); document.write( "48=48 \n" ); document.write( "and \n" ); document.write( "58+6=2(26+6) \n" ); document.write( "64=64\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |