document.write( "Question 532409: The sum of three numbers is 18. The sum of the first and second numbers is 15. The first number is 3 times larger than the third number. Solve for the three variables \n" ); document.write( "
Algebra.Com's Answer #350840 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Third Number = x \n" ); document.write( "Second Number = y \n" ); document.write( "First Number = 3x \r \n" ); document.write( "\n" ); document.write( "The sum of 3 numbers is 18 \n" ); document.write( "x+3x+y=18 \n" ); document.write( "4x+y=18............(1) \n" ); document.write( "The sum of the first two numbers is 15 \n" ); document.write( "3x+y=15..............(2) \n" ); document.write( "Take (2) \n" ); document.write( "3x+y=15 \n" ); document.write( "y=15-3x.........(3) \n" ); document.write( "Put the value of y in (1) \n" ); document.write( "4x+y=18 \n" ); document.write( "4x+(15-3x)=18 \n" ); document.write( "4x+15-3x=18 \n" ); document.write( "x=18-15 \n" ); document.write( "x=3 \n" ); document.write( "Put the value of x in (2) \n" ); document.write( "3x+y=15 \n" ); document.write( "3(3)+y=15 \n" ); document.write( "9+y=15 \n" ); document.write( "y=15-9 \n" ); document.write( "y=6 \r \n" ); document.write( "\n" ); document.write( "Third Number = x = 3 \n" ); document.write( "Second Number = y = 6 \n" ); document.write( "First Number = 3x = 3(3) = 9 \n" ); document.write( " |