document.write( "Question 534614: There are four numbers. If u add up the three lowest the total is 57 less then the highest. Adding them all together gives you 579. The lower numbers have a differences of 49 and 91. What are the four numbers lowest to highest? \n" ); document.write( "

Algebra.Com's Answer #351601 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
The four numbers are w, x, y, and z.
\n" ); document.write( ".
\n" ); document.write( "w+x+y+z = 579
\n" ); document.write( "w+x+y-z = -57
\n" ); document.write( "------------------ add
\n" ); document.write( "2w +2x + 2y = 522
\n" ); document.write( "so
\n" ); document.write( "w + x + y = 261
\n" ); document.write( ".
\n" ); document.write( "w+49 = x (given)
\n" ); document.write( "so
\n" ); document.write( "w = x-49
\n" ); document.write( ".
\n" ); document.write( "x+91 = y (given)
\n" ); document.write( "so
\n" ); document.write( "x = y-91
\n" ); document.write( ".
\n" ); document.write( "Substitute
\n" ); document.write( ".
\n" ); document.write( "(x-49) +x + (x+91) = 261
\n" ); document.write( "3x + 42 = 261
\n" ); document.write( "3x = 219
\n" ); document.write( "x = 73
\n" ); document.write( ".
\n" ); document.write( "w = x-49
\n" ); document.write( "w = 73-49
\n" ); document.write( "w = 24
\n" ); document.write( ".
\n" ); document.write( "y = x+91
\n" ); document.write( "y = 73+91
\n" ); document.write( "y = 164
\n" ); document.write( ".
\n" ); document.write( "w+x+y+z = 579
\n" ); document.write( "261 + z = 579
\n" ); document.write( "z = 579 - 261
\n" ); document.write( "z = 318
\n" ); document.write( ".
\n" ); document.write( "Check
\n" ); document.write( "318-57 = 261
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: The numbers from lowest to highest are: 24, 73, 164, and 318.
\n" ); document.write( " \n" ); document.write( "

\n" );