document.write( "Question 395228: The sum of the ages of a father and a son is 52 years. Eight years ago, the father was eight times as old as his son. If the father is now x and the son is y years of age, write two equations and solve them to find the values if x and y \n" ); document.write( "
Algebra.Com's Answer #280601 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of the ages of a father and a son is 52 years. \n" ); document.write( "x + y = 52 \n" ); document.write( ": \n" ); document.write( "Eight years ago, the father was eight times as old as his son. \n" ); document.write( "x - 8 = 8(y - 8) \n" ); document.write( "x - 8 = 8y - 64 \n" ); document.write( "x = 8y - 64 + 8 \n" ); document.write( "x = 8y - 56 \n" ); document.write( ": \n" ); document.write( "Back to the 1st equation: replace x with (8y-56) \n" ); document.write( "(8y-56) + y = 52 \n" ); document.write( "8y + y = 52 + 56 \n" ); document.write( "9y = 108 \n" ); document.write( "y = \n" ); document.write( "y = 12 yrs is the son's age \n" ); document.write( ": \n" ); document.write( "I'll let you find x, the father's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check the solutions in the 2nd statement:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |