document.write( "Question 545562: your math teacher told me that this year she is three times as old as her little sister. However, six years ago she was five times as old as her sister. How old is your math teacher now? \n" ); document.write( "

Algebra.Com's Answer #355678 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let t = teacher's age now
\n" ); document.write( "let s = sister's age
\n" ); document.write( ":
\n" ); document.write( "\"This year she is three times as old as her little sister.\"
\n" ); document.write( "t = 3s
\n" ); document.write( ":
\n" ); document.write( "\"However, six years ago she was five times as old as her sister.\"
\n" ); document.write( "t -6 = 5(s - 6)
\n" ); document.write( "t - 6 = 5s - 30
\n" ); document.write( "t = 5s - 30 + 6
\n" ); document.write( "t = 5s - 24
\n" ); document.write( "From the 1st statement, replace t with 3s
\n" ); document.write( "3s = 5s - 24
\n" ); document.write( "24 = 5s - 3s
\n" ); document.write( "24 = 2s
\n" ); document.write( "s = 24/2
\n" ); document.write( "s = 12 yr is sisters present age
\n" ); document.write( "then
\n" ); document.write( "3(12) = 36 yrs is teacher's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"six years ago she was five times as old as her sister.\"
\n" ); document.write( "36 - 6 = 5(12 - 6)
\n" ); document.write( "30 = 5(6); confirms our solution\r
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