conservation of momentum tells us that M1 = M2
conservation of energy tells us that E1 = E2
Let's calculate the energy needed to move Adolf to his final state (0.65 m above starting point).
E2 = m * g * h
= 116 kg * 9.81 m/s^2 * 0.65 m
That means that he started with that much energy as soon as he pushed off.
E1 = 1/2 * m * v^2
739.7 J = 1/2 * 116 kg * v^2
Solve for v, which turns out to be 3.6 m/s.
Now let's turn to momentum (calling M1 for Adolf and M2 for Ed)
M1 = M2
m1 * v1 = m2 * v2
116 kg * 3.6 m/s = 70 kg * v2
Solve for Ed's initial speed, v2 = 6.0 m/s
Now, using energy, let's find out Ed's final height.
E3 = E4 (now doing conservation of energy for Ed)
1/2 * m * v^2 = m * g * h
1/2 * 70 kg * (6.0 m/s)^2 = 70 kg * 9.81 m/s^2 * h
Solve for h, which ends up being h = 1.83 m above his starting point.
Let me know if this helps by choosing this as the best answer.