a 65 kg male skater pushes a 45 kg female skater causing her to accelerate at a rate of 2.0 ms ^2 at what rate will the male skater accelerate? What is the rate of his acceleration?

Answer 1

Since they exert equal and opposite forces on each other,
M1*a1 = -M2*a2
a2 = -a1*(45/65)
= -1.38 m/s^2

Subscript 2 denotes male; 1 denotes female.
The minus sign means the accelerate in opposite directions.