Question
'A' and 'B' have stamps in the ratio of 11:7, respectively. If 'B' gives 6 stamps to 'A', then the new ratio of stamps with 'A' and 'B' becomes 5:3, respectively. Find the initial difference between stamps with 'A' and 'B'.
Solution
Let the initial number of stamps that 'A' and 'B' have be 11x and 7x, respectively.
After giving 6 stamps to 'A', the number of stamps with 'A' and 'B' will be: (11x+6) and (7x-6)
ATQ;
{11x + 6}/{7x - 6} = {5/3}
Or, 3(11x + 6) = 5(7x - 6)
Or, 33x+18=35x-30
Or, 2x=48
Or, x=24
The initial difference between stamps with 'A' and 'B': 11x - 7x = 4x = 96
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