document.write( "Question 1206462: Grandpa and his grandson Gary both had their birthday yesterday. Today, grandpa's age in years is an even number and 15 times that of Gary. In 4 years time Grandpa's age in years will be the square of Gary's age in years. How many years older than Gary is grandpa today? \n" ); document.write( "
Algebra.Com's Answer #844006 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Grandpa's age is an even number that is 15 times his grandson's age. 15 times a whole number being an even number means that whole number is even. So there are only a few reasonable possibilities to check. \n" ); document.write( "grandson 2, grandpa 30: 28 years is too little length for 2 generations; and 30+4=34 is not a perfect square. \n" ); document.write( "grandson 4, grandpa 60: 56 years is a reasonable length for 2 generations; and 60+4 is a perfect square. \n" ); document.write( "grandson 6, grandpa 90: 84 years is PROBABLY too long for 2 generations; and 90+4 is not a perfect square. \n" ); document.write( "So Grandpa is 60 and his grandson is 4; the difference in their ages is 56 years. \n" ); document.write( "ANSWER: 56 \n" ); document.write( " \n" ); document.write( " |