Question

A residential school is to accommodate students from the three different cities x,y,z.the number of students from the cities x,y,z are 32,48,24 respectively.find the minimum number of halls required if in each Hall the number of students from each city should be same.

Answer 1

Answer:

8

Step-by-step explanation:

Given :  residential school is to accommodate students from the three different cities x,y,z.the number of students from the cities x,y,z are 32,48,24 respectively.find the minimum number of halls required if in each Hall the number of students from each city should be same.

 We need to find the minimum number of halls required to accommodate the number of students. So we can find the hcf of the given numbers.

So hcf of 32, 48 and 24

Now the factors of the given numbers are

32 = 2 x 2 x 2 x 2 x 2

48 = 2 x 2 x 2 x 2 x 3

24 = 2 x 2 x 2 x 3

Now we take the common factor which will be 2 x 2 x 2 = 8

So the number of halls required is 8