document.write( "Question 1122367: A is 11 years old and B is 68 years old. in how many years will B be 4 times as old as A? \n" ); document.write( "
Algebra.Com's Answer #738482 by Theo(13342)![]() ![]() You can put this solution on YOUR website! A is 11 years old. \n" ); document.write( "B is 68 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let the number of years be equal to x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in x years, B will be 68 + x years old. \n" ); document.write( "in x years, A will be 11 + x years old. \n" ); document.write( "in x years, B will be 4 * as old as A.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is: \n" ); document.write( "B + x = 4 * (A + x) \n" ); document.write( "simplify to get: \n" ); document.write( "B + x = 4 * A + 4 * x \n" ); document.write( "subtract 4 * x from both sides of the equation to get: \n" ); document.write( "B + x - 4 * x = 4 * A \n" ); document.write( "combine like terms to get: \n" ); document.write( "B - 3 * x = 4 * A \n" ); document.write( "subtract 4 * A from both sides of the equation and add 3 * x to both sides of the equation to get: \n" ); document.write( "B - 4 * A = 3 * x \n" ); document.write( "since B = 68 and A = 11, this equation becomes: \n" ); document.write( "68 - 4 * 11 = 3 * x \n" ); document.write( "simplify to get: \n" ); document.write( "68 - 44 = 3 * x \n" ); document.write( "combine like terms to get: \n" ); document.write( "24 = 3 * x \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 24/3 = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is B will be 4 * as old as A in 8 years. \n" ); document.write( "in 8 years, B will be 68 + 8 = 76 \n" ); document.write( "in 8 years, A will be 11 + 8 = 19 \n" ); document.write( "4 * 19 = 76, confirming the solution is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |