document.write( "Question 448813: The ages of a mother and daughter are the same but the digits are reversed.Twelve years ago, the mother was twice as old as the daughter. How old are they now? \n" ); document.write( "

Algebra.Com's Answer #308779 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The ages of a mother and daughter are the same but the digits are reversed.
\n" ); document.write( "Let 10x+y = mom's age
\n" ); document.write( "then
\n" ); document.write( "10y+x = daughter's age
\n" ); document.write( ":
\n" ); document.write( "Twelve years ago, the mother was twice as old as the daughter.
\n" ); document.write( "10x+y - 12 = 2(10y+x-12)
\n" ); document.write( "10x + y - 12 = 20y + 2x - 24
\n" ); document.write( "10x - 2x = 20y - y - 24 + 12
\n" ); document.write( "8x = 19y - 12
\n" ); document.write( "Divide by 8
\n" ); document.write( "x = $\"19%2F8\"$ y - $\"12%2F8\"$
\n" ); document.write( "x = $\"19%2F8\"$ y - $\"3%2F2\"$
\n" ); document.write( "only one value for y gives an integer value for x, that is
\n" ); document.write( "y = 4
\n" ); document.write( "then
\n" ); document.write( "x = $\"19%2F8\"$ (4) - $\"3%2F2\"$
\n" ); document.write( "x = $\"19%2F2\"$ - $\"3%2F2\"$
\n" ); document.write( "x = 9.5 - 1.5
\n" ); document.write( "x = 8
\n" ); document.write( ":
\n" ); document.write( "Mom's age: 84, Daughter 48
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that's true in the statement
\n" ); document.write( "\"Twelve years ago, the mother was twice as old as the daughter.\"
\n" ); document.write( "84 - 12 = 2(48 - 12)
\n" ); document.write( "72 = 2(36)\r
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