document.write( "Question 341844: One number is one third of another number. If the difference between the numbers is 28, find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #244763 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! One number is one third of another number. If the difference between the numbers is 28, find the two numbers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the larger number be L, and the smaller number S.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since one number is one third of another number, then we can say that L = 3S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, since the difference between the numbers is 28, then we can also say that: L - S = 28 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we have: L = 3S ______eq (i) \n" ); document.write( " L - S = 28___eq (ii)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute 3S for L in eq (ii) to get: 3S - S = 28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2S = 28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S, or the smaller number = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, substitute 14 for S in eq (i) to get: L = 3(14), or L, or larger number = |