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The students of a class are made to stand in rows. If 3 students areextra in a row, there would be 1 row less. If 3 students are less in a rowthere would be 2 rows more. Find the number of students in the class. |
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Answer» Let the number of rows = x and the number of students in each row = y `therefore` Total number of students in the class = xy According to the I condition, (y + 3) (x - 1) = xy (no. of students in each row `xx` no. of rows = total students) implies xy - y + 3x - 3 = xy implies 3x - y = 3 ...(1) According to the II condition, (y - 3) (x + 2) = xy implies xy + 2y - 3x - 6 = xy implies 3x - 2y = - 6 Subtracting equation (2) from equation (1), we have y = 9 Put y = 9 in equation (1), we get 3x - 9 = 3 implies 3x = 12 implies x = 4 `therefore` Total number of students in the class = xy = 4 `xx` 9 = 36. |
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