document.write( "Question 1196797: This year, alex's grandfather's age is 6 times of Alex's age. After a few years, Alex's grandfather's age will be 5 times of Alex's age. After another few years, Alex's grandfather's age will be 4 times of Alex's age. What is Alex's grandfather's age this year? \n" ); document.write( "

Algebra.Com's Answer #830083 by MathTherapy(10552) $\"\"$ $\"About$

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This year, alex's grandfather's age is 6 times of Alex's age. After a few years, Alex's grandfather's age will be 5 times of Alex's age. After another few years, Alex's grandfather's age will be 4 times of Alex's age. What is Alex's grandfather's age this year?
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Let grandfather’s age be G\r\n" );
document.write( "Then Alex’ is \r\n" );
document.write( "Let “a few years” be y. Then:     Let “another few years,” or years after this year, be z. Then: \r\n" );
document.write( "                                                                    We then get: \r\n" );
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document.write( "                     With , ONLY MULTIPLES of 3 can be substituted for y in order to get INTEGER-VALUES for z\r\n" );
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document.write( "Therefore, if y = 3, then \r\n" );
document.write( "This gives us: G, or the grandfather’s age as: 24(3), or 9(8) = 72.\r\n" );
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document.write( "With ONLY MULTIPLES of 3 that can be substituted for y, we substitute 6 for y to get: \r\n" );
document.write( "This gives us: G, or the grandfather’s age as: 24(6), or 9(16) = 144\r\n" );
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document.write( "As it’s HIGHLY UNLIKELY that the grandfather is 144 years old, no LARGER multiples of 3 need to be tried/substituted. \r\n" );
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document.write( "Therefore, the more REALISTIC age for him is as stated above, 72.

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