Question

Radha has two flowerbeds in her garden. One bed has 18 rows of plants and the other has 24 rows
of plants. Each of the beds has the same number of plants. What is the least number of plants in
each flowerbed?

Answer 1

Given :

The first flowerbed has 18 rows of plants

The second flowerbed has 24 rows of plants.

Each bed has the same number of plants

To Find:

We have to find the least number of plants in each flowerbed.

Solution :  

It is given that one bed has 18 rows of plants and the other has 24 rows, and also each bed has the same number of plants

Let X and Y be the number of plants in each respective row in the first flowerbed and second flowerbed respectively. We can write it as,

⇒ 18X = 24Y

⇒    $\[\begin{array}{l}\frac{X}{Y} = \frac{{24}}{{18}}\\\\\,\,\,\,\,\,\, = \frac{4}{3}\end{array}\]$

The ratio of the X : Y = 4:3

∴ 18X = 24Y

   18×4 =24×3 = 72

OR

To get the least number of plants in each row, we find the LCM of 18,24.

LCM (18,24) = 72.

∴ The least number of plants in each flowerbed = 72