w = G M m / R²
w is the weight of a person
m is the mass of the person
M is the mass of the Earth
R is the radius of the Earth (distance between the person and the center of the earth.
the ratio w/wₚ gives the answer to the question "How many times would the weight of a person on the surface of the Earth increase?"
wₚ is the present weight
The sentence "coefficient of increase in the mass of the Earth would be equal to 5" means M = 5Mₚ
Mₚ is the present Earth's mass
w/wₚ = (G M m / R²) / (G Mₚ m / R²) = M / Mₚ = 5Mₚ / Mₚ = 5
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