Question
The number of chocolates with ‘Rohan’ and
‘Sohan’ together is 20 more than that with ‘Mohan’, while the number of chocolates with ‘Sohan’ and ‘Mohan’ together is 10 more than that with ‘Rohan’. If ‘Rohan’ and ‘Mohan’ together have a total of 50 chocolates, then find the number of chocolates with ‘Rohan’, ‘Sohan’, and ‘Mohan’, together.Solution
ATQ, Let the number of chocolates with ‘Rohan’, ‘Sohan’, and ‘Mohan’ be ‘x’, ‘y’, and ‘z’, respectively. Therefore, x + y = z + 20 ………(1) y + z = x + 10 ………(2) x + z = 50 ………(3) Add equations (1), (2), and (3): 2(x + y + z) = x + z + 80 Or, 2(x + y + z) = 50 + 80 Or, x + y + z = 130/2 = 65 Thus, the total number of chocolates with Rohan, Sohan, and Mohan together is 65.
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