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Tension in string between two blocks with friction watch

1. hiya, I am a little stuck on this question:

Block A (10kg) and Block B (15kg) are connected by a string. There is another string on Block B and the boxes are pulled with a force of 50N. Frictional force of 2N acts on Block A and frictional force of 3N acts on Block B.
Calculate the acceleration of the two boxes-
I assumed they would accelerate at the same rate so I did
f = ma
50-5= 25a
a=45/25= 1.8m/s^2

Calculate Tension acting in the string that connects the two boxes. I did:
Tension is the force pulling Block A in direction of 50N force
F= ma
F= T-2 (the frictional force acting on Block a)
T-2= 10*1.8
T=20N
is this right =???

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