document.write( "Question 1130428: Anna is 30 years older than Corey. In 4 years, Anna will be double Corey's age. How old is each now? \n" ); document.write( "

Algebra.Com's Answer #747104 by ikleyn(52858) $\"\"$ $\"About$

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document.write( "A = C + 30         (1)\r\n" );
document.write( "A + 4 = 2(C+4)     (2)\r\n" );
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document.write( "To solve the system, substitute eq(1) into eq(2).\r\n" );
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document.write( "(C+30) + 4 = 2(C+4)\r\n" );
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document.write( "C + 34 = 2C + 8\r\n" );
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document.write( "34 - 8 = 2C - C\r\n" );
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document.write( "C = 26.\r\n" );
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document.write( "Then from eq(1)  A = 26 + 30 = 56.\r\n" );
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document.write( "Answer.  Anna is 56 years old;  Corey is 26.\r\n" );
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