document.write( "Question 335265: Erika's uncle is three time as old as she is now. Four years ago, he was four times as old as she was then. How old is Erika now? \n" ); document.write( "

Algebra.Com's Answer #240659 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Erika's uncle is three time as old as she is now.
\n" ); document.write( "Four years ago, he was four times as old as she was then.
\n" ); document.write( " How old is Erika now?
\n" ); document.write( ":
\n" ); document.write( "Let e = Erika's age now
\n" ); document.write( "Let u = uncles age now
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\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"Erika's uncle is three time as old as she is now.\"
\n" ); document.write( "u = 3e
\n" ); document.write( ":
\n" ); document.write( "\" Four years ago, he was four times as old as she was then.\"
\n" ); document.write( "u - 4 = 4(e-4)
\n" ); document.write( "u - 4 = 4e - 16
\n" ); document.write( "u = 4e - 16 + 4
\n" ); document.write( "u = 4e - 12
\n" ); document.write( ":
\n" ); document.write( " How old is Erika now?
\n" ); document.write( "Replace u with 3e in the above equation
\n" ); document.write( "3e = 4e - 12
\n" ); document.write( "12 = 4e - 3e
\n" ); document.write( "e = 12 yrs is Erika now
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "(u = 3(12) = 36)
\n" ); document.write( "\"Four years ago, he was four times as old as she was then.\"
\n" ); document.write( "36 - 4 = 4(12 - 4)
\n" ); document.write( "32 = 4(8); confirms our solution
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