document.write( "Question 985149: The average age of Alice and tom is 14 years 3 months. Alice is 2 years 8 months younger than tom. How old is Alice ? \n" ); document.write( "

Algebra.Com's Answer #854462 by ikleyn(53879) $\"\"$ $\"About$

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\n" ); document.write( "The average age of Alice and tom is 14 years 3 months.
\n" ); document.write( "Alice is 2 years 8 months younger than tom.
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\n" ); document.write( "\n" ); document.write( "        As I read the solution in the post by @lwsshak3, \r
\n" ); document.write( "\n" ); document.write( "        I nearly died of horror — so many crude errors/mistakes are there.\r
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\n" ); document.write( "\n" ); document.write( "        For correct solution, see what follows in my post.\r
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document.write( "Let x be the Alice age in months,\r\n" );
document.write( "and let y be the Tom age in months.\r\n" );
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document.write( "14 years and 3 months is 14*12+3 = 171 months.\r\n" );
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document.write( "Therefore, the first statement means that the sum x and y is 2*171 = 342 months.\r\n" );
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document.write( "So, our first equation is \r\n" );
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document.write( "    y + x = 342  months.    (1)\r\n" );
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document.write( "2 years and 8 months is 2*12+8 = 32 months.\r\n" );
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document.write( "Therefore, the second statement means that the difference y - x is 32 months.\r\n" );
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document.write( "So, our second equation is \r\n" );
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document.write( "    y - x = 32  months.     (2)\r\n" );
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document.write( "From equations (1) and (2), \r\n" );
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document.write( "    - the greatest age (which is the Tom age) is half of the sum 342 and 32, i.e.   = 187 months,\r\n" );
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document.write( "    - while the smallest age (which is the Alice age) is half of the difference of numbers 342 and 32, i.e.  = 155 months.\r\n" );
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document.write( "ANSWER.  Alice is 155 months old.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly for your secure teaching/learning.\r
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\n" ); document.write( "\n" ); document.write( "Ignore the post by @lwsshar3, since it is full of errors.\r
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