document.write( "Question 722602: The sum of age of father and son is 75.If the father and his son both live until the son becomes as old as his father is now,the sum of the age will be 107. \n" ); document.write( "
Algebra.Com's Answer #442924 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
let f = father's age
\n" ); document.write( "let s = son's age
\n" ); document.write( ":
\n" ); document.write( "The sum of age of father and son is 75.
\n" ); document.write( "f + s = 75
\n" ); document.write( "the difference in their ages
\n" ); document.write( "d = f - s
\n" ); document.write( ":
\n" ); document.write( "If the father and his son both live until the son becomes as old as his father is now, the sum of the age will be 107.
\n" ); document.write( ":
\n" ); document.write( "(f + d) + (s + d) = 107
\n" ); document.write( "f + s + 2d = 107
\n" ); document.write( "we know that f + s = 75, from the 1st statement
\n" ); document.write( "75 + 2d = 107
\n" ); document.write( "2d = 107 - 75
\n" ); document.write( "2d = 32
\n" ); document.write( "d = 16 yrs is the their age difference (a young father)
\n" ); document.write( ";
\n" ); document.write( "f = s + 16
\n" ); document.write( ":
\n" ); document.write( "f + s = 75
\n" ); document.write( "(s+16) + s = 75
\n" ); document.write( "2s = 75 - 16
\n" ); document.write( "2s = 59
\n" ); document.write( "s = 59/2
\n" ); document.write( "s = 29.5 yrs is the son's age
\n" ); document.write( "then
\n" ); document.write( "29.5+16 = 45.5 yrs is father's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if this works:
\n" ); document.write( "29.5 + 45.5 = 75
\n" ); document.write( "and
\n" ); document.write( "(29.5+16) + (45.5+16) =
\n" ); document.write( "45.5 + 61.5 = 107 \n" ); document.write( "
\n" );