Question 928011
Let 79+x = larger number
       x = smaller number

The difference between two numbers is 79.
(79+x)- x = 79

7 times the smaller is equal to 5 more than the larger.

7x = (79+x)+5
7x = 84+x
6x = 84
 x = 14

Substitute x with 14
79 + 14 
93

The larger number is 93 while the smaller number is 14

Check
93 - 14 = 79

7(14) = 93 + 5
 98   = 98