document.write( "Question 630726: The first number is four more than two times the second number. The sum of the two numbers is ninety-seven. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #397092 by rmnavalta(7)![]() ![]() You can put this solution on YOUR website! Let x=the first number \n" ); document.write( " 97-x= the second number \r \n" ); document.write( "\n" ); document.write( "The first number x is equal to 2 times the second number + 4, so the equation is\r \n" ); document.write( "\n" ); document.write( "x=2(97-x)+4\r \n" ); document.write( "\n" ); document.write( "x=194-2x+4 -- multiply 2 and (97-x), applying distributive property \n" ); document.write( "x+2x=194-2x+4+2x --add 2x on both sides of the eqn \n" ); document.write( "3x = 198 -- 194+4=198 \n" ); document.write( "(3x)/3 = 198/3 -- Divide both sides by 3\r \n" ); document.write( "\n" ); document.write( "x=66 -------> the value of the first number \n" ); document.write( "second number = 97-x \n" ); document.write( " = 97-66 \n" ); document.write( " = 31\r \n" ); document.write( "\n" ); document.write( "Answer: The two numbers are 66 and 31. \n" ); document.write( " \n" ); document.write( " |