document.write( "Question 1147663: Therese is eight years younger than Sian. If the sum of their ages is 34, how old is Tesrese? \n" ); document.write( "

Algebra.Com's Answer #769008 by Theo(13342) $\"\"$ $\"About$

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let t = age of therese.
\n" ); document.write( "let s = age of sian.
\n" ); document.write( "t = s - 8
\n" ); document.write( "t + s = 34
\n" ); document.write( "replace t with s - 8 to get:
\n" ); document.write( "s - 8 + s = 34
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "2s - 8 = 34
\n" ); document.write( "add 8 to both sides to get:
\n" ); document.write( "2s = 42
\n" ); document.write( "solve for s to get:
\n" ); document.write( "s = 42/2 = 21
\n" ); document.write( "t = s - 8, therefore t = 13.
\n" ); document.write( "t = 13
\n" ); document.write( "s = 21
\n" ); document.write( "t + s = 13 + 21 = 34
\n" ); document.write( "s - t = 21 - 13 = 8
\n" ); document.write( "you have:
\n" ); document.write( "the sum of their ages is 34 and therese is 8 year younger than sian.
\n" ); document.write( "solution looks good.
\n" ); document.write( "solution is therese is 13 years old.
\n" ); document.write( " \n" ); document.write( "

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