Q) In a school, there are two sections of class X. There are 40 students in the first section and 48 students in the second section. Determine the minimum number of books required for their class library so that they can be distributed equally among students of both sections.

Ans:

STEP-BY-STEP SOLUTION

To get a number that can be divided by 40 and 48, it should be a multiple of 40 and 48.

To get a minimum number of books, the multiple should be the lowest.

Therefore, we will calculate LCM of these book numbers

By prime factorisation: 40 = 5 x 2 x 2 x 2

48 = 3 x 2 x 2 x 2 x 2

∴ LCM of 40, 48 = 2 x 2 x 2 x 5 x 3 x 2 = 240 books

Therefore, To distribute equally among the students of both sections; a minimum of 240 books are required.

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