Question

A book seller has 420 science stream book and 130 arts stream books .He wants to stack them in such way that each stack has the same number and they take up the least area of the surfca​

Answer 1

Answer:

10 books for every stack

Step-by-step explanation:

This question is testing the concept of GCD in mathematics.

Here we need to get the maximum number of books that should be placed in each stack to cover the least possible area.

For us to get the GCD, we need to write down the prime factors of of the given numbers.

We do this as follows:

420 = 2 × 2 × 3 × 5 × 7

130 = 2 × 5 × 13

From the prime factors, the GCD of the two numbers is given by:

GCD = 2 × 5 = 10

Therefore, the maximum number of books that should be placed in each stack to cover the least area is 10