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Juli2301 [7.4K]
3 years ago
12

The students in a school can be arranged in 12, 15 and 18 equal rows and also into a solid square. What is the lowest number of

students that can be in the school?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Hello,

Let's x then number of students.

x is divisible by 12,15,18 thus by 180 (lcm)

x=180*k is a square

2²*3²*5*k= a square ==> k=5

x=180*5=900

Proof:

900/12=75

900/15=60

900/18=50

900=30²

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