document.write( "Question 1151350: In 3 years, Susan will be three times as old as his daughter. Three years ago, the sum of their ages was 56. What is the daughter's age now? \n" ); document.write( "
Algebra.Com's Answer #773096 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "In 3 years, Susan will be three times as old as \n" ); document.write( "What is the daughter's age now? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "m, Susan the mother\r\n" ); document.write( "d, daughter\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the description, you have this system of 2 equations\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " m + 3 = 3*(d+3), (1)\r\n" ); document.write( "\r\n" ); document.write( " (m-3) + (d-3) = 56. (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From equation (1), express m = 3d + 6 and substitute it into equation (2). You will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " ((3d+6) - 3) + (d-3) = 56,\r\n" ); document.write( "\r\n" ); document.write( " 4d = 56\r\n" ); document.write( "\r\n" ); document.write( " d = 56/4 = 14.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The daughter is 14 years old now.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The solution and the answer by @josgarithmetic, giving 28 years for the daughter, is W R O N G.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For your safety, ignore it (!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |