Question 223660
The sum of two numbers is twelve.  The total of three times the smaller number and six amounts to seven less than the product of four and the larger number. Find the two numbers.


Step 1.  Let x be one number


Step 2.  Let 12-x be the other number


Step 3.  3x+6=4*(12-x)-7 since the total of three times the smaller number and six amounts to seven less than the product of four and the larger number.


Step 4.  Solving yields the following steps


*[invoke explain_simplification "3x+6=4*(12-x)-7" ]


With x=5, then 12-5=7


Check...{{{3x+6=4*(12-x)-7}}} or {{{3*5+6=4*7-7}}} which is a true statement.


Step 5.  ANSWER:  The numbers are 5 and 7



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