Question
The number of chocolates in boxes 'A', 'B', and 'C' are
in the ratio 4:7:9. Combined in all 3 boxes, the total is 140 chocolates. If 4 chocolates are transferred from box 'B' to box 'A', and subsequently, 3 chocolates are moved from box 'C' to box 'B', what is the new ratio of chocolates in boxes 'A', 'B', and 'C'?Solution
Number of chocolates in box ‘A’ = 140 × (4/20) = 28 Number of chocolates in box ‘B’ = 140 × (7/20) = 49 Number of chocolates in box ‘C’ = 140 × (9/20) = 63 Now, new ratio of number of chocolates in box ‘A’, ‘B’ and ‘C’ = (28 + 4):(49 – 4 + 3):(63 – 3) = 32:48:60 = 8:12:15
In ∆ABC , G is the centroid , AB = 6 cm, BC= 8 cm and AC = 10 cm , find GD, where D is the mid-point of BC?

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