document.write( "Question 1012329: I need help with this question here:\r
\n" ); document.write( "\n" ); document.write( "The Johnson boys were born two years after their older sister. Let s represent the age of the older sister.
\n" ); document.write( "a. Write an expression, in terms of s, for the sum of the twins and their sister.
\n" ); document.write( "b. Write an expression, in terms of s, for the product of ages of the twins and their sister.
\n" ); document.write( "c. This year, the product of the three siblings ages is exactly 8 more than the sum of their ages. Write an equation, in terms of s, to represent this fact.
\n" ); document.write( "d. What are the ages of the twins and their sister? Show or explain how you got your answer.
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Algebra.Com's Answer #628223 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "The Johnson boys were born two years after their older sister. Let s represent the age of the older sister.
\n" ); document.write( "a. Write an expression, in terms of s, for the sum of the twins and their sister.
\n" ); document.write( "b. Write an expression, in terms of s, for the product of ages of the twins and their sister.
\n" ); document.write( "c. This year, the product of the three siblings ages is exactly 8 more than the sum of their ages. Write an equation, in terms of s, to represent this fact.
\n" ); document.write( "d. What are the ages of the twins and their sister? Show or explain how you got your answer.
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document.write( "If s represents the age of the older sister, then the age of twins is s-2 of each.\r\n" );
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document.write( "a. The sum of the twins' ages and their sister's age is 2*(s-2) + s.\r\n" );
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document.write( "b. The product of ages of the twins and their sister is \"%28s-2%29%5E2%2As\".\r\n" );
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document.write( "c. The equation is \"%28s-2%29%5E2%2As\" = 2*(s-2) + s + 8.\r\n" );
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document.write( "d. Now simplify and solve this equation:\r\n" );
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document.write( "   \"s%5E3+-+4s%5E2+%2B+4s\" = \"2s+-+4+%2B+s+%2B+8\",\r\n" );
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document.write( "   \"S%5E3+-+4s%5E2+%2B+4s\" = \"3s+%2B+4\",\r\n" );
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document.write( "   \"s%5E3+-+4s%5E2+%2B+s+-+4\" = \"0\".\r\n" );
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document.write( "   Group the terms\r\n" );
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document.write( "   \"%28s%5E3+-+4s%5E2%29+%2B+%28s-4%29\" = \"0\",\r\n" );
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document.write( "   \"s%5E2%28s-4%29+%2B+%28s-4%29\" = \"0\",\r\n" );
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document.write( "   \"%28s%5E2%2B1%29%2A%28s-4%29\" = \"0\".\r\n" );
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document.write( "   The solution is s = 4.\r\n" );
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document.write( "Answer. The ages of the twins are 2 years each and the age of the sister is 4 years.\r\n" );
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