Let the numbers be 4x and 5x 4x+5x =216 9x=216 x=216/9 x=24 4 parts = 24 x4 =96 5 parts = 24 x5 =120 96+120=216?

Dividing 216 in the Ratio 4:5

In order to divide 216 in the ratio 4:5, we first need to understand what this ratio means. A ratio of 4:5 can be interpreted as dividing the total quantity into 4 parts and 5 parts, respectively.

Step 1: Find the total parts
To find the total number of parts in the ratio 4:5, we add the two parts together:
4 + 5 = 9 parts

Step 2: Find the value of each part
To find the value of each part, we divide the total quantity by the total number of parts:
216 / 9 = 24

This means each part in the ratio 4:5 is equal to 24.

Step 3: Calculate the share for each part
To divide 216 in the ratio 4:5, we multiply the value of each part by the respective ratio values:
4 parts * 24 = 96
5 parts * 24 = 120

Therefore, the share of 216 divided in the ratio 4:5 is 96 and 120, respectively.