Question 1119837
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<pre>
Let "m" and "M" be the two masses, "m" is the smaller, and "M" is the greater.


The gravity force acting between them is  F = {{{G*((m*M)/R^2)}}}.


The acceleration of the mass "m" is  {{{a[m]}}} = {{{F/m}}} = {{{G*(M/R^2)}}}.


The acceleration of the mass "M" is  {{{a[M]}}} = {{{F/M}}} = {{{G*(m/R^2)}}}.


We are given that  {{{a[m]}}} = {{{9*a[M]}}}.


It implies  M = 9m.


<U>Answer</U>.  M = 9m.
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Solved.