173k views
3 votes
Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height qt which the two stacks will be the same height?

User Edwin Wong
by
4.2k points

1 Answer

3 votes

Answer:

The shortest height is 36 inches

Explanation:

Here in this question, we want to know the shortest height with which boxes of 12 inches tall staked will be the same height with which boxes of 18 inches staked beside it

This is a question that has to do with multiples; In other words, we are simply looking for the lowest common multiple of 12 and 18;

The multiples of both are as follows;

12 - 12, 24,36,48,60•••••

18-18,36,54,72••••••

We can see that at the point 36, both have their first multiple match

So we can say that the lowest common multiple of 18 and 12 is 36

User Bestsss
by
4.3k points