document.write( "Question 622402: 1. A is 6 years older than B. In 5 years time their total age is 70. How old are they now? The answer is 33 and 27, but how do you calculate this? \n" ); document.write( "
Algebra.Com's Answer #391361 by lenny460(1073)![]() ![]() You can put this solution on YOUR website! Let the age of A be = n + 6\r \n" ); document.write( "\n" ); document.write( "Let the age of B be = n\r \n" ); document.write( "\n" ); document.write( "In five years time:\r \n" ); document.write( "\n" ); document.write( "A = n + 6 + 5\r \n" ); document.write( "\n" ); document.write( "B = n + 5\r \n" ); document.write( "\n" ); document.write( "(n + 6 + 5) + (n + 5)\r \n" ); document.write( "\n" ); document.write( "n + 6 + 5 + n + 5\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "n + n = 2n\r \n" ); document.write( "\n" ); document.write( "6 + 5 + 5 = 16\r \n" ); document.write( "\n" ); document.write( "2n + 16 = 70\r \n" ); document.write( "\n" ); document.write( "Subtract 16 from each side of the equation.\r \n" ); document.write( "\n" ); document.write( "2n + 16 - 16 = 70 - 16\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "16 - 16 = 0\r \n" ); document.write( "\n" ); document.write( "70 - 16 = 54\r \n" ); document.write( "\n" ); document.write( "2n = 54\r \n" ); document.write( "\n" ); document.write( "Divide each side by 2\r \n" ); document.write( "\n" ); document.write( "2n/2 = 54/2\r \n" ); document.write( "\n" ); document.write( "n = 27\r \n" ); document.write( "\n" ); document.write( "n + 6 = 27 + 6 = 33\r \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "A is 33 years old and\r \n" ); document.write( "\n" ); document.write( "B is 27 years old. \n" ); document.write( " |