Question

The students in the choir were lined up in rows of 9. The chorimaster rearranged them into equal number of rows and columns. There were more than 10 and fewer than 50 students in the choir. How many sutdents were there in the choir?

Answer 1

Answer: 36

Explanation:

It must be a multiple of 9 for them to be in rows of 9 at the beginning therefore it can only be one of 18, 27, 36, 45 as it has to be bigger than 10 and smaller than 50 it cant be 9 or 54

It must also be a square number in order to have an equal amount of rows and column.

So it must be 36 as it is both a multiple of 9 and a square number.