Question 1006040
Call their vote totals x and y.  From the facts we have
x = y + 38  and
x + y = 164
Substitute the first into the second and get
y + 38 + y = 164
2y + 38 = 164
Subtract 38 and divide by two and get
2y = 126
y = 63 votes so that
x = 101 votes