document.write( "Question 1024028: maria's father is now twice as old as she is, 16 years ago he was four times as old. how old is each now \n" ); document.write( "

Algebra.Com's Answer #639549 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "maria's father is now twice as old as she is.
\n" ); document.write( "F = 2M......(1)
\n" ); document.write( "16 years ago he was four times as old.
\n" ); document.write( "F - 16 = 4(M - 16)......(2)
\n" ); document.write( "F - 16 = 4M - 64........(2)
\n" ); document.write( "Replace F in Eq(2) with 2M
\n" ); document.write( "from Eq(1)
\n" ); document.write( "2M - 16 = 4M - 64
\n" ); document.write( "Collect like terms
\n" ); document.write( "2M - 4M = - 64 + 16
\n" ); document.write( "-2M = -48
\n" ); document.write( "M = -48/-2
\n" ); document.write( "M = 24.
\n" ); document.write( "Maria is 24 years old
\n" ); document.write( "Father is 48 years old.
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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