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Police officers of a batch are preparing for drill and are made to stand in rows. If 4 officers are extra in each row,then there would be 2 rows less. But there would be 4 more rows if 4 officers are less in each row. Find the number of officers in the batch. a) 96 b)56 c)69 d)65
Asked by miaowmira1900 | 14 Oct, 2019, 14:35: PM

Let the number of rows = x and number of officers in each row = y

Total number of officers in the batch.= xy

According to the first condition, we get
xy = (y + 4)(x - 2)
→ 2x - y = 4  ... (1)
According to the second condition, we get
xy = (y - 4)(x + 4)
→ x - y = -4  ... (2)
Solving (1) and (2), we get
x = 8 and y = 12

Therefore the total number of officers in the batch.= xy  = 8(12) = 96

Answered by Yasmeen Khan | 14 Oct, 2019, 16:23: PM

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