document.write( "Question 511807: please i need the answer...\r
\n" ); document.write( "\n" ); document.write( "A man is 4 years older than his wife, and 5 times as old as his son. When the son was born, the age of the wife was 6/7 that of her husband's age. Find the age of each.
\n" ); document.write( "

Algebra.Com's Answer #342526 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A man is 4 years older than his wife and 5 times as old as his son.
\n" ); document.write( " When the son was born, the age of the wife was six-sevenths that of her husband's age.
\n" ); document.write( " Find the age of each.
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"A man is 4 years older than his wife\"
\n" ); document.write( "m = w + 4
\n" ); document.write( "subtract 4 from both sides
\n" ); document.write( "w = (m-4)
\n" ); document.write( ":
\n" ); document.write( "\"and 5 times as old as his son.\"
\n" ); document.write( "m = 5s
\n" ); document.write( ":
\n" ); document.write( "\"When the son was born, the age of the wife was six-sevenths that of her husband's age.\"
\n" ); document.write( "w - s = \"6%2F7\"(m-s)
\n" ); document.write( "multiply both sides by 7
\n" ); document.write( "7(w-s) = 6(m-s)
\n" ); document.write( "7w - 7s = 6m - 6s
\n" ); document.write( "7w = 6m - 6s + 7s
\n" ); document.write( "7w = 6m + s
\n" ); document.write( "replace w with (m-4)
\n" ); document.write( "7(m-4) = 6m + s
\n" ); document.write( "7m - 28 = 6m + s
\n" ); document.write( "7m - 6m = s + 28
\n" ); document.write( "m = s + 28
\n" ); document.write( "replace m with 5s
\n" ); document.write( "5s = s + 28
\n" ); document.write( "5s - s = 28
\n" ); document.write( "4s = 28
\n" ); document.write( "s = 7 yrs is the son's age
\n" ); document.write( "then
\n" ); document.write( "5(7) = 35 yrs is Dad's age
\n" ); document.write( "and
\n" ); document.write( "35-4 = 31 yrs is Mom's age
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "confirm these solutions in the statement:
\n" ); document.write( "\"When the son was born, the age of the wife was six-sevenths that of her husband's age.\"
\n" ); document.write( "31 - 7 = \"6%2F7\"(35 - 7)
\n" ); document.write( "24 = \"6%2F7\"*28
\n" ); document.write( "24 = 24;
\n" ); document.write( "
\n" );