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In a college, there are total 221 students, who uses either computer or laptop or tablet. Some students replaced their computer with laptop and the number of laptop users increased to 77. Now, the number of the students, who do not use the computer, is 180. How many students replaced their computer with laptop?

In a college, there are total 221 students, who uses either computer or laptop or tablet. Some students replaced their computer with laptop and the number of laptop users increased to 77. Now, the number of the students, who do not use the computer, is 180. How many students replaced their computer with laptop? Correct Answer Data insufficient

Suppose there are a, b and c users of computer, laptop and tablet respectively;

∴ (a + b + c) = 221

When some students replaced their computer with laptop and the number of laptop users increased to 77;

∴ Increased number of laptop users = b’ = 77

Given that the number of students who do not use the computer now is 180.

∴ Number of laptop and tablet users now = b’ + c = 180

∴ c = 180 - 77 = 103

Since total number of users remains constant∶

∴ a’ + b’ + c = 221

⇒ a’ = 221 - 77 - 103 = 41

∴ a + b = 221 - 103 = 118 and

a’ = 41, b’ = 77

Here we do not have the values of ‘a’ or ‘b’, hence we can’t find the number of students who replaced their computer with laptop.

∴ Data insufficient.

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