some chairs are arranged in a number of rows in a classroom. if 4 chairs are kept in one row , three rows are left vacant and if 3 chairs are kept in one row, 3 chairs are left. what is the total number of chairs

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Solution

Let x be the number of rows and y be the number of chairs.
If 4 chairs are kept in one row , three rows are left vacant:
Then the number of rows filled with chairs = x-3
Total number of chairs, y = (x-3)4 ...(1)
If 3 chairs are kept in one row, 3 chairs are left:
Total number of chairs, y = 3x+3 ...(2)
From (1) and (2)
(x-3)4 = 3x+3
4x-12=3x+3
x=15
From (1), total number chairs = (x-3)4 = (15-3)4 = 12*4 =48

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