document.write( "Question 1175810: The oldest child in a family of four children is three times as old as the youngest. The two middle children are 10 and 22 years old. If the average age of the children is 16, how old is the youngest child? \n" ); document.write( "

Algebra.Com's Answer #801488 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let x be the youngest; then the oldest is 3x years old.\r\n" );
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document.write( "You have then this equation for the average age\r\n" );
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document.write( "     = 16.\r\n" );
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document.write( "It implies\r\n" );
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document.write( "    4x = 4*16 - 10 - 22 = 32\r\n" );
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document.write( "     x                  = 32/4 = 8.\r\n" );
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document.write( "ANSWER.  The youngest child in the family is 8 years old.\r\n" );
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