What is the value of x if 4/x + 3/5 = 10/x, then x=?

What is the value of x if 4/x + 3/5 = 10/x, then x=?

A 50

B 12

C 40

D 10

Solution

Correct Answer: Option D

4/x + 3/5 = 10/x

or, (20 + 3x)/5x = 10/x

or, 20x + 3x2 = 50x

or, 3x2 - 50x + 20x = 0

or, 3x2 - 30x = 0

or, 3x(x – 10) = 0

Now,

Either,

3x = 0

x = 0

Or,

x – 10 = 0

x = 10