document.write( "Question 1198772: Freddy is 3 years older than 6 times his grandson's age. The sum of their ages is greater than 67. What is the youngest age Freddy's grandson can be? \n" ); document.write( "

Algebra.Com's Answer #832426 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let x be the Freddy grandson's age.\r\n" );
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document.write( "Then Freddy's age is (6x+3) years.\r\n" );
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document.write( "The problem says that\r\n" );
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document.write( "    x + (6x+3) > 67.\r\n" );
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document.write( "It implies\r\n" );
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document.write( "    7x > 67 - 3\r\n" );
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document.write( "    7x >   64\r\n" );
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document.write( "     x >   64/7 = 9.\r\n" );
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document.write( "Since the age is an integer number of years, from the last inequality we can conclude that x >= 10.\r\n" );
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document.write( "In other words, Freddy's grandson is at lest 10 years old.\r\n" );
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document.write( "10 years is the youngest age of the Freddy's grandson.\r\n" );
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