document.write( "Question 1193901: Tia is 41 years old and her daughter is 5 years old. After x years, her daughter age will be half her age. What is the value of x \n" ); document.write( "

Algebra.Com's Answer #825949 by ikleyn(52864) $\"\"$ $\"About$

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\n" ); document.write( "Tia is 41 years old and her daughter is 5 years old.
\n" ); document.write( "After x years, her daughter age will be half her age. What is the value of x
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document.write( "    41 + x = 2*(5+x).\r\n" );
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document.write( "Now simplify and find x\r\n" );
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document.write( "    41 + x = 10 + 2x\r\n" );
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document.write( "    41 - 10 = 2x - x\r\n" );
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document.write( "       31   =    x\r\n" );
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document.write( "ANSWER.  It will happen in 31 years.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the daughter was born when the mother was 41-5 = 36 years old.\r
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\n" ); document.write( "\n" ); document.write( "So it is clear without calculations that the next event will happen when they will be 36 and 72 years old, \r
\n" ); document.write( "\n" ); document.write( "respectively, which will happen 36 - 5 = 31 years from now.\r
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