document.write( "Question 1015606: A woman is 15 years older than her younger brother. Six years ago, her brother is one - half as old as his elder sister. How old are they now? \n" ); document.write( "

Algebra.Com's Answer #631998 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let w = the woman's present age
\n" ); document.write( "let b = the brother's age
\n" ); document.write( ":
\n" ); document.write( "write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( " A woman is 15 years older than her younger brother.
\n" ); document.write( "w = b + 15
\n" ); document.write( " Six years ago, her brother is one - half as old as his elder sister.
\n" ); document.write( "b - 6 = .5(w - 6)
\n" ); document.write( "b - 6 = .5w - 3
\n" ); document.write( "b = .5w - 3 + 6
\n" ); document.write( "b = .5w + 3
\n" ); document.write( "Replace w with (b+15)
\n" ); document.write( "b = .5(b+15) + 3
\n" ); document.write( "b = .5b + 7.5 + 3
\n" ); document.write( "b = .5b + 10.5
\n" ); document.write( "b - .5b = 10.5
\n" ); document.write( ".5b = 10.5
\n" ); document.write( "multiply both sides by 2
\n" ); document.write( "b = 21 yrs is the brothers age
\n" ); document.write( "then
\n" ); document.write( "w = 21 + 15
\n" ); document.write( "w = 36 yrs is the woman's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the statement:
\n" ); document.write( "\"Six years ago, her brother is one - half as old as his elder sister.\"
\n" ); document.write( "21 - 6 = .5(36 - 6)
\n" ); document.write( "15 = .5(30) \n" ); document.write( "

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