He sold 123 tie-dyed T-shirts.
Step-by-step explanation:
A man sold 3 times as many tie-dyed T-shirts as silk-screened shirts.
The equation is framed as :
⇒ x+3x = 164
⇒ 4x = 164
⇒ x = 164/4
⇒ x = 41
Therefore, the number of silk-screened shirts is 41.
Then, the number of tie-dyed T-shirts is 3x = 3×41 ⇒ 123.