Question 163201
Call the smaller of the two integers N
The larger of the two integers is the next number up (the problem said they were consecutive), so it must be N+1

The bigger number minus 10 equals the smaller number times four.  Let's express that algebraically :

(N + 1) - 10 = 4N

Now, we just go ahead and solve :

N - 9 = 4N

N = -3

Therefore the two numbers are -3 (which is the smaller) and -2 (the larger)