document.write( "Question 1202759: Apple, Lea and Sarah are siblings. Apple is turning 12 next year. Lea's age in 8 year plus Sarah's age in 3 years is equal to four times Apple's age next year. What is the some of their ages in six years. \n" ); document.write( "

Algebra.Com's Answer #837856 by ikleyn(52799) $\"\"$ $\"About$

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\n" ); document.write( "Apple, Lea and Sarah are siblings. Apple is turning 12 next year.
\n" ); document.write( "Lea's age in 8 year plus Sarah's age in 3 years is equal to four times Apple's age next year.
\n" ); document.write( "What is the $\"highlight%28cross%28some%29%29\"$ SUM of their ages in six years.
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document.write( "Since \"Apple is turning 12 next year\" (given), Apple's age is 11 years now.\r\n" );
document.write( "So, we write  A = 11.\r\n" );
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document.write( "Lea's   age in 8 years will be  (L+8) years.\r\n" );
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document.write( "Sarah's age in 3 years will be  (S+3) years.\r\n" );
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document.write( "Since \"Lea's age in 8 year plus Sarah's age in 3 years is equal to four times \r\n" );
document.write( "Apple's age next year\", we can write this equation\r\n" );
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document.write( "    (L+8) + (S+3) = 4*12,\r\n" );
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document.write( "which implies\r\n" );
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document.write( "    L + S = 48 - 8 - 3 = 37 years.\r\n" );
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document.write( "Then the sum of the ages of the three siblings this year is \r\n" );
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document.write( "    A + L + S = = A + (L + S) = 11 + 37 = 48 years.\r\n" );
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document.write( "In 6 years later, the sum of their ages will be\r\n" );
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document.write( "    48 + 3*6 = 48 + 18 = 66 years.    \r\n" );
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document.write( "ANSWER.  The sum of their ages in six years will be 66 years.\r\n" );
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