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 = 
21