document.write( "Question 766388: The sum of the ages of a father and his son is 40 years.If they both live until the son becomes as old as the father is now, the sum of their ages will be 96 years . Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #466952 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of the ages of a father and his son is 40 years.If they both live until \n" ); document.write( " the son becomes as old as the father is now, the sum of their ages will be 96 years . \n" ); document.write( " Find their present ages. \n" ); document.write( ": \n" ); document.write( "Let f = father's age \n" ); document.write( "Let s = son's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement. \n" ); document.write( "\"The sum of the ages of a father and his son is 40 years.' \n" ); document.write( "f + s = 40 \n" ); document.write( "s = (40-f) \n" ); document.write( ": \n" ); document.write( "If they both live until the son becomes as old as the father is now, the sum of their ages will be 96 years. \" \n" ); document.write( "f + f + (f-s) = 96 \n" ); document.write( "2f + (f-s) = 96 \n" ); document.write( "3f - s = 96 \n" ); document.write( "3f -(40-f) = 96 \n" ); document.write( "3f - 40 + f = 96 \n" ); document.write( "4f = 96 + 40 \n" ); document.write( "4f = 136 \n" ); document.write( "f = 136/4 \n" ); document.write( "f = 34 is father's age \n" ); document.write( "then \n" ); document.write( "40 - 34 = 6 yrs is son's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this: the dif in their ages 34-6 = 28; \n" ); document.write( " 34 + 28 + 6 + 28 = 96\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |