document.write( "Question 1151997: The average of two numbers is 11.the difference between them is 4,find the number \n" ); document.write( "
Algebra.Com's Answer #773918 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "You have received three responses showing different algebraic solution methods, or the beginnings of algebraic solution methods. \n" ); document.write( "All three are fine... if an algebraic solution is required. \n" ); document.write( "If an algebraic solution is not required, then use your common sense to solve the problem quickly by the method shown by tutor @ikleyn. \n" ); document.write( "Here is a little more on her method, in case it is not clear to you. \n" ); document.write( "(1) If you know the average of two numbers is x and the two numbers are the same, then obviously the two numbers are x and x. \n" ); document.write( "(2) If you know the average of two numbers is x and the difference between the two numbers is 2, then take the x and x from example (1) and add 1 to one of them and subtract 1 from the other; the two numbers are x+1 and x-1. The average is then still the same, but now the numbers differ by 2. \n" ); document.write( "So if you know the average is x and the two numbers differ by 10, then you know one number is 5 more than x and the other is 5 less than x; they are x+5 and x-5. \n" ); document.write( "Applying the principle to this particular problem, with an average of 11 and a difference of 4, you get what tutor @ikleyn says for the two numbers: 11+2=13 and 11-2=9. \n" ); document.write( " \n" ); document.write( " |