document.write( "Question 980700: The sum of ages of mother & father & son is 96 years after 8 years mother will be three times as old as her son & father will be as old as mother & son together find the present age of mother \n" ); document.write( "
Algebra.Com's Answer #601848 by ankor@dixie-net.com(22740)\"\" \"About 
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The sum of ages of mother & father & son is 96 years
\n" ); document.write( " m + f + s = 96
\n" ); document.write( " after 8 years mother will be three times as old as her son
\n" ); document.write( "m + 8 = 3(s+8)
\n" ); document.write( "m + 8 = 3s + 24
\n" ); document.write( "m - 3s = 24 - 8
\n" ); document.write( "m - 3s = 16
\n" ); document.write( ":
\n" ); document.write( " & father will be as old as mother & son together
\n" ); document.write( "f + 8 = (m+8 + s+8)
\n" ); document.write( "f = m + s + 16 - 8
\n" ); document.write( "f = m + s + 8
\n" ); document.write( "f - m - s = 8
\n" ); document.write( "Add the above equation to the first equation
\n" ); document.write( "f - m - s = 8
\n" ); document.write( "f + m + s = 96
\n" ); document.write( "---------------Addition eliminates m and s, find f
\n" ); document.write( "2f = 104
\n" ); document.write( "f = 104/2
\n" ); document.write( "f = 52 yrs is Father's age
\n" ); document.write( ":
\n" ); document.write( "Back to the first equation, replace f with 52
\n" ); document.write( "52 + m + s = 96
\n" ); document.write( "m + s = 96 - 52
\n" ); document.write( "m + s = 44
\n" ); document.write( "Subtract the 2nd equation from the above equation
\n" ); document.write( "m + s = 44
\n" ); document.write( "m - 3s =16
\n" ); document.write( "-----------------
\n" ); document.write( "4s = 60
\n" ); document.write( "s = 60/4
\n" ); document.write( "s = 15 yrs is son's age
\n" ); document.write( ":
\n" ); document.write( " find the present age of mother
\n" ); document.write( "The first equation, replace f and s
\n" ); document.write( "52 + m + 15 = 96
\n" ); document.write( "m = 96 - 67
\n" ); document.write( "m = 29 yrs is Mom's age
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "See if that checks out in the statement
\n" ); document.write( "\"After 8 years...father will be as old as mother & son together \"
\n" ); document.write( "52 + 8 = 29 + 8 + 15 + 8
\n" ); document.write( "60 = 37 + 23 \n" ); document.write( "
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