Question 636467
Let S = the smaller number
and L = the larger number

The first statement is
    S + L = 16  (1)
The second is
    5*S = L + 68   (2)
Solve (2) for L yields
    L = 5*S - 68   (3)
Substitute L of (3) into (1) yields
    S + 5*S - 68 = 16   (4)
Simplify (4) to obtain
    6*S = 84 or
     S = 84/6
     S = 14     (5)
Substitute 14 for S in (3) yields
     L = 5*14 -68
     L = 70 - 68
     L = 2
Let's check this reult using (1)
Is (S+L=16)?
Is (14+2=16)?
Is (16=16)? Yes

Our answer is that the smaller number is 14 and the larger number is 2. This is contrary to the definition of the two numbers. The second statement should be reversed to state that "five time of the larger number exceeds the smaller number by 68." Then the answer is "the smaller number is 2 and the larger 14."