Answer:
the magnitudes of the two forces are 45.N and 1.5 N
Explanation:
This in a problem of composition of forces, as the forces are on a single axis, East-West, we can work as a problem of a single dimension, write Newton's second law for each case n
    • Two forces to the east
         F1 + F2 = m a1
   • One force to the east and the other to the west
         F1 - F2 = m a2
We see that we have a system of two equations with two unknowns, we proceed to solve it
We add sides equations
         F1 + F2 = m a1
         F1 - F2 = m a2
        2F1 = m (a1 + a2)
        F1 = m (a1 + a2) / 2
        F1 = 9.31 (0.626 +0.340) / 2
        F1 = 4.5 N
We substitute in one of the two equations and find the other force
        F1 + F2 = m a1
        F2 = m a1 - F1
        F2 = 9.31 0.646 - 4.5
        F2 = 1.5 N
      These are the magnitudes of the two forces 45.N and 1.5 N