What are the two numbers.

1. the sum of two numbers is 15. 6 times the smaller number is 4 times the larger number .find the two numbers.
   
2. the sum of the two numbers is 28. 2 times the larger number is 5 times the smaller number minus 7. find the two numbers.

1. 15 = 14 + 1 = 13 + 2 = 12 + 3 = ... which of these satisfy the conditions
   
   
2. Mathematics makes you realize how imprecise language can sometimes be: The above statement could mean: (2 times the larger number) equals ((5 times the smaller number) minus 7)
   
   28 = 19 + 9, 2*19 = 5*9 - 7 or (2 times the larger number) equals (5 times (the smaller number minus 7))
   
   28 = 15 + 13, 2*15 = 5*(13-7)