document.write( "Question 936903: Aby and his brother Ben are teenagers. Ben is 3 years younger than Aby and the GCF of their age is 3. how old is Ben? \n" ); document.write( "
Algebra.Com's Answer #570370 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! Aby and his brother Ben are teenagers. \n" ); document.write( " \r\n" ); document.write( "13 ≤ A ≤ 19, 13 ≤ B ≤ 19\r\n" ); document.write( " \n" ); document.write( "Ben is 3 years younger than Aby \n" ); document.write( " \r\n" ); document.write( "B = A-3, so we substitute A-3 for B and\r\n" ); document.write( "\r\n" ); document.write( "13 ≤ B ≤ 19 becomes\r\n" ); document.write( "\r\n" ); document.write( "13 ≤ A-3 ≤ 19\r\n" ); document.write( "\r\n" ); document.write( "We add 3 to all three sides:\r\n" ); document.write( "\r\n" ); document.write( "16 ≤ A ≤ 22, but since A ≤ 19,\r\n" ); document.write( "\r\n" ); document.write( "16 ≤ A ≤ 19\r\n" ); document.write( " \n" ); document.write( "the GCF of their age is 3 \n" ); document.write( " \r\n" ); document.write( "So A is a multiple of 3 and the only multiple of 3\r\n" ); document.write( "between 16 and 19 is 18, so \r\n" ); document.write( "\r\n" ); document.write( "A = 18 and B = A-3 = 18-3 = 15.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |