Question

in a hostel 120 students had provision for 60 days after 20 days some students were added to the hostel the provision had finished 10 days ahead how many students were added
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Answer 1

40 students were added to the hostel.

Step-by-step explanation:

Let $x$ students were added to the hostel.

• ∵ 120 students had provision for 60 days.
• firstly, 120 students consumed it for 20 days.
• then the remaining provision was for 40 days for 120 students.
• But ( 120 +  $x$ ) students consumed it in ( 40 - 10 = 30 ) days.

This means provision for 120 students for 40 days was consumed by ( 120 +  $x$ ) students in 30 days.

• this can be written as,
•          120 × 40 = ( 120 +  $x$ ) × 30
•       ∴ ( 120 +  $x$ ) = 160
•          ∴          $x$  = 40

So, the no. of students were added equals to 40.

Answer 2

The number of students added to the hostel is 40.

Step-by-step explanation:

In the hostel, 120 students had provision for 60 days.

Now, after 20 days there will be (60 - 20) = 40 days provision for 120 students.

Let us assume that after 20 days x number of students are added to the hostel and hence the provision had finished 10 days ahead i.e. (40 - 10) = 30 days.

So, there is 40 days provision for 120 students in the hostel.

Or, there will be 30 days of provision for $\frac{120 \times 40}{30} = 160$ students.

Therefore, the number of students added to the hostel is (160 - 120) = 40. (Answer)