Question

2. If 2 students live in one room in a hostel, there will be a shortage of 5 rooms. If 3 students live in one room 2 room remain vacant. What is the number of students?​

Answer 1

Answer:

6 students

Step-by-step explanation:

Answer 2

There are 42 students in total.

We know that if 2 students live in one room, there will be a shortage of 5 rooms. So the total number of rooms needed is:

x/2 + 5 = number of rooms needed

We also know that if 3 students live in one room, 2 rooms remain vacant. So the total number of rooms needed is:

x/3 + 2 = number of rooms needed

Since both of these equations represent the same total number of rooms needed, we can set them equal to each other:

x/2 + 5 = x/3 + 2

Now we can solve for x.

First, we'll multiply both sides of the equation by 6 (the least common multiple of 2 and 3):

3x + 30 = 2x + 12

Now we can subtract 3x from both sides of the equation:

30 = x - 12

Add 12 to both sides of the equation:

x = 42

Therefore, there are 42 students in total.

Know more from the following links.

brainly.in/question/16766451

brainly.in/question/4211888

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