There are two numbers that are twice as far away from 13 than 22. The sum of those numbers are?

Sum of those numbers are 50

Step-by-step explanation:

Let x represent a number that is twice as far away from 13 than 22.

The number can't be less than 13 but will be between 13 and 22 or slightly more than 22 otherwise it will be far away from both.

Thus;

|x - 13| = 2|x - 22|

It's in absolute form, so we will square both sides to get rid of the absolute brackets.

Thus;

(x - 13)² = 4(x - 22)²

x² - 26x + 169 = 4(x² - 44x + 484)

x² - 26x + 169 = 4x² - 176x + 1936

4x² - x² - 176x + 26x + 1936 - 169 = 0

3x² - 150 + 1767 = 0

Using quadratic formula, we have;

x = 19 or x = 31

Thus,the sum of the 2 numbers = 31 + 19 = 50

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