document.write( "Question 333436: A mother is 8 times as old as her daughter and 4 times as old as her son. How old is each if the son is 4 years older than the daughter? \n" ); document.write( "

Algebra.Com's Answer #238937 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A mother is 8 times as old as her daughter and 4 times as old as her son.
\n" ); document.write( "m = 8d
\n" ); document.write( "m = 4s
\n" ); document.write( ":
\n" ); document.write( "How old is each if the son is 4 years older than the daughter?
\n" ); document.write( "s = d + 4
\n" ); document.write( ":
\n" ); document.write( "replace s with (d+4) in the equation m = 4s
\n" ); document.write( "m = 4(d+4)
\n" ); document.write( "m = 4d + 16
\n" ); document.write( "Replace m with 8d from the 1st equation
\n" ); document.write( "8d = 4d + 16
\n" ); document.write( "8d - 4d = 16
\n" ); document.write( "4d = 16
\n" ); document.write( "d = 4 yrs is the daughter's age
\n" ); document.write( ":
\n" ); document.write( "We know that s = d+4, therefore
\n" ); document.write( "s = 4 + 4
\n" ); document.write( "s = 8 yrs son's age
\n" ); document.write( "then
\n" ); document.write( "m = 4s
\n" ); document.write( "m = 4(8)
\n" ); document.write( "m = 32 yrs is Mom's age
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "summarize; Mom is 32, son is 8, daughter is 4 \n" ); document.write( "

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