Divide 150 into three parts such that the second number is five - sixths the first and the third number is four - fifths the second.

Let the first part be x of 150

According to the question second part is

And the third part is

Adding all of them

Taking LCM of 6 and 30 = 30

⇒ 75x = 150 × 30

Second part =

Third part =