<PRE><B>Question 228227</B>
A certain number is 4 less than another number. If the sum is 46, find the numbers.


Step 1.  Let n be one number.


Step 2.  Let n-4 be another number.


Step 3.  Then, n+n-4=46 since their sum is 46.


Step 4.  Solving yields the following steps


{{{2n-4=46}}}


Add 4 to both sides of the equation


{{{2n-4+4=46+4}}}


{{{2n=50}}}


Divide by 2 to both sides of the equation


{{{2n/2=50/2}}}


{{{n=25}}} and {{{n-4=21}}}.  Also note that their sum is 46.


Step 5.  ANSWER: The numbers are 21 and 25.


I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


Good luck in your studies!


Respectfully,
Dr J
</PRE>