The 3 Sisters!!!

Algebra Level 3

3 sisters went to market for selling eggs. First sister was having 10 eggs, second having 16 eggs and the third sister having 26 eggs. Till noon, they sold the eggs with the same rate , (M Rupees/Egg). In the afternoon, they reduced their prices and sold remaining eggs with some other same rate, (N Rupees/Egg). When they returned home, they were all having the same amount of money, Rupees 35, with each. Find the sum of all possible values of M.

Details and Assumptions:

  • M is not equal to N
  • All of them did not sell the eggs with the same speed.
  • M and N are not necessarily integers.

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