Question 61128
Let the number be “x”

Given 20% greater than 30.
  
That is 20%(x) > 30                             

0.2x > 30                     

x >150              (1)
         
Given 40% less than 60

That is   40%(x) < 60               

0.4x  <   60           

x  < 150           &#61664;(2)

From equation(1) and equation(2), we find that

x >150 and x <150

Therefore x = 150