Let the number of photos in new subjects = x
Portfolio consists of 1000 photos which are divided into 20 subjects.
After photoshoot 2 more subjects were added so the total subjects = 22

Target question: Is the average (arithmetic mean) number of photos in each subject greater than 55?
$$\frac{1000+2x}{22}>55$$
$$1000+2x>55\cdot22$$
$$1000+2x>1210$$
$$2x>210$$
$$x>\frac{210}{2}>105$$
Is x>105??

Statement 1=> Each of the new subjects has fewer than 117 photos.
i.e x < 117
If x=110, then x>105 but if x=90; then x < 105. Since the answer is not definite statement 1 is NOT SUFFICIENT.

Statement 2=> Each of the new subjects has more than 71 photos.
i.e x > 71, if x=110, then x>105 but if x=90, then x<105. Since the answer is not definite statement, statement 2 is NOT SUFFICIENT.

Combining both statements:
x < 117 and x > 71
71 < x < 117
If x = 110, then x > 105 but if x=90, then x<105. Since the answer is NOT DEFINITE, both statements combined together is NOT SUFFICIENT.

Answer = option E