The sum of the two numbers is 405 and the ratio between the numbers are 8 : 7. Find the numbers.

A ratio shows the relative sizes of two or more values.

Answer: The two numbers whose sum is 405 and ratio is 8 : 7 are 216 and 189

Let's calculate the numbers using the given conditions in the question

Explanation:

Let the two numbers be 7x and 8x (since, ratio of the two numbers is 8:7)

According to the question,

The sum of two numbers is 405

Thus, 8x + 7x = 405
=> 15x = 405
=> x = 405/15
=> x = 27

Hence,

First number = 8x = 27 × 8 = 216
Second number = 7x = 27 × 7= 189

Thus, the two numbers whose sum is 405 and ratio is 8:7 are 216 and 189