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# 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

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