document.write( "Question 498187: Two years ago, a man was eight times as old as his son. In three years time, he will be four and a half times his son's age then. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #336936 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=son's present age \n" ); document.write( "And let y father's present age \n" ); document.write( "x-2=son's age 2 yrs ago; x+3=son's age 3 yrs hence \n" ); document.write( "y-2=fathers age 2 yrs ago; y+3=father's age 3 yrs hence \n" ); document.write( "Now we are told the following: \n" ); document.write( "y-2=8(x-2) simplify \n" ); document.write( "y-2=8x-16 \n" ); document.write( "y-8x=-14-------------------eq1 \n" ); document.write( "and \n" ); document.write( "y+3=4.5(x+3)simplify \n" ); document.write( "y+3=4.5x+13.5 \n" ); document.write( "y-4.5x=10.5----------------eq2 \n" ); document.write( "subtract eq1 from eq2 \n" ); document.write( "3.5x=24.5 \n" ); document.write( "x=7 yrs old-----------------present age of son \n" ); document.write( "from eq1 \n" ); document.write( "y-56=-14 \n" ); document.write( "y=42---------------present age of father \n" ); document.write( "CK \n" ); document.write( "two years ago: \n" ); document.write( "42-2=8*5 \n" ); document.write( "40=40 \n" ); document.write( "3 years from present: \n" ); document.write( "42+3=(4.5)*10 \n" ); document.write( "45=45\r \n" ); document.write( "\n" ); document.write( "Hope this helps-----ptaylor\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |