If a + b + c = 528, a : b = 23 : 14 and b : c = 28 : 22, the what is the value of a - c ?

132

   a     :     b      :      c

  23    :    14                               (b × 2, to make b equal in both ratio)

               28     :     22                        

--------------------------------

46      :      28    :      22  =  96R

⇒ 96R = 528  (given)

⇒ 1R = 5.5

⇒ Hence, a - c = 46 - 22 = 24R = 24 × 5.5 = 132