document.write( "Question 1172282: Mia is 4 years older than her sister Taylor. Mia’s brother is nine years younger than their sister Taylor. The sum of their ages is 64 years. \n" ); document.write( "
Algebra.Com's Answer #797253 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( " Mia is 4 years older than her sister Taylor.
\n" ); document.write( "m = t + 4
\n" ); document.write( " Mia’s brother is nine years younger than their sister Taylor.
\n" ); document.write( "b = t - 9
\n" ); document.write( " The sum of their ages is 64 years.
\n" ); document.write( "m + t + b = 64
\n" ); document.write( "replace m with (t+4) and replace b with (t-9)
\n" ); document.write( "(t+4) + t + (t-9) = 64
\n" ); document.write( "3t - 5 = 64
\n" ); document.write( "3t = 64 + 5
\n" ); document.write( "3t = 69
\n" ); document.write( "t = 69/3
\n" ); document.write( "t = 23 yrs is Taylor's name
\n" ); document.write( "then
\n" ); document.write( "m = 23 + 4
\n" ); document.write( "m = 27 yrs is Mia's age
\n" ); document.write( "and
\n" ); document.write( "b = 23 - 9
\n" ); document.write( "b = 14 yrs is brother's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check by find the sum of their ages
\n" ); document.write( "23 + 27 + 14 = 74 \n" ); document.write( "
\n" );