The present of A, B and C are in the ratio of 8 : 14 : 22 respectively. The present ages of B, C and D are in the ratio of 21 : 33 : 44 respectively. Which of the represents the ratio of the present ages of A, B, C and D respectively?

Solution (By Examveda Team)

$$\eqalign{ & {\text{A}}:{\text{B}}:{\text{C}} = 8:14:22, \cr & {\text{B}}:{\text{C}}:{\text{D}} = 21:33:44 \cr & = \left( {21 \times \frac{2}{3}} \right):\left( {33 \times \frac{2}{3}} \right):\left( {44 \times \frac{2}{3}} \right) \cr & = 14:22:\frac{{88}}{3}. \cr & \therefore A:B:C:D = 8:14:22:\frac{{88}}{3} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 24:42:66:88 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 12:21:33:44 \cr} $$