document.write( "Question 289692: Tamara has 2 sisters. One of the sisters is 7 years older the Tamar. The other sister is 3 years younger then Tamara. The product of her sisters ages is 24. How old is Tamra \n" ); document.write( "
Algebra.Com's Answer #209803 by ankor@dixie-net.com(22740)\"\" \"About 
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Tamara has 2 sisters. One of the sisters is 7 years older the Tamar.
\n" ); document.write( " The other sister is 3 years younger then Tamara.
\n" ); document.write( " The product of her sisters ages is 24. How old is Tamra
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\n" ); document.write( "Let t = T's age
\n" ); document.write( "then
\n" ); document.write( "(t+7) = older sister's age
\n" ); document.write( "and
\n" ); document.write( "(t-3) = younger sister's age
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\n" ); document.write( "The product of her sisters ages is 24.
\n" ); document.write( "(t+7)(t-3) = 24
\n" ); document.write( "FOIL
\n" ); document.write( "t^2 - 3t + 7t - 21 = 24
\n" ); document.write( ":
\n" ); document.write( "t^2 + 4t - 21 - 24 = 0
\n" ); document.write( ":
\n" ); document.write( "t^2 + 4t - 45 = 0
\n" ); document.write( "factors to
\n" ); document.write( "(t+9)(t-5) = 0
\n" ); document.write( "Positive solution
\n" ); document.write( "t = 5 yrs is T's age
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\n" ); document.write( ":
\n" ); document.write( "Check solution by find the product of the sisters age
\n" ); document.write( "(5+7) * (5-3) = 24 \n" ); document.write( "
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