This is an acid base neutrlization/double displacement reaction.
NaOH (aq) + HCl (aq) --> NaCl (aq) + H2O (l)
Species always react mole to mole. So if you look at tha balanced reaction equation you can see 1 mole of NaOH Reacts with 1 mole of HCl to form 1 mole of NaCl and 1 mole of water.
Again, this is a neutralization/double displacement reaction. You are titrating the HCl (initial volume 25.00 mL) with the NaOH. The final volume of NaOH is 24.16 mL and the molarity of the NaOH is given as 0.106M.
So start by writing down what you have:
VHCl = 25.00 mL
VNaOH = 24.16 mL
MNaOH = 0.106M
You need to find the MHCl
Now, they react 1:1 and mole:mole. So just use the eqn:
MHCl x VHCl = MNaOH x VNaOH
Substitute the knows you have and solve for MHCl
Try that and see if it works. BTW, FYI: This is the procedure used for standardizing an acid (determining its concentration) using a base of known concentration. Sometimes it helps to connect the problem to something it is used for so you remember the WHY!!!!!