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