Question 56997
Let x represent the smaller number, then 7 times the smaller number is 7x.  Because x added to the larger number is 24, let 24-x represent the larger number.  "5 times the larger number" is now represented as 5(24-x), and now our final equation is 7x=5(24-x).  That expands to 7x=120-5x.  Adding 5x to both sides yields 12x=120, and dividing both sides by 12 gives us {{{x=10}}}.  So that means the larger number must be 14 (24-10=14).