Question

Divide 25 in two parts so that sum of their reciprocals is 1/6

Answer 1

If the first part = x

The second part = 25-x



Sum of reciprocals:

$\frac{1}{x} + \frac{1}{25-x} = \frac{1}{6}$


x² - 25x + 150 = 0


This is a quadratic equation, solution of which is:

x = 10, x = 15


So, 25 can be split into 10 and 15

Answer 2

Thank you for asking this question.

f the first part = x

The second part = 25-x

Sum of reciprocals:

1/x + 1/25-x = 1/6

x² - 25x + 150 = 0

This is a quadratic equation

x = 10, x = 15

So, 25 can be split into 10 and 15

If there is any confusion please leave a comment below.