Two forces P and Q act on an object of mass $13\mathrm{.}0$ kg with Q being the larger of the two forces. When both forces are directed to the left, the magnitude of the acceleration of the object is $1\mathrm{.}40$ m$/$s$2.$ However, when the force P is directed to the left and the force Q is directed to the right, the object has an acceleration of $0\mathrm{.}700$ m$/$s$2$ to the right. Find the magnitudes of the two forces P and Q in newtons.

P $=\_\_\_\_\_$N

Q $=\_\_\_\_\_$N