Students were standing in rows for mass drill. if one student is extra in a row , there would be 2 rows less. if one student is less in a row , there would be 3 rows more. find the numbers of students in the class room.
Answers
❥︎ANSWER
Let the original number of rows =x
Let the original number of students in each row =y
Total number of students in class = Number of students × Number of rows =xy
According to problem
Case 1
Total no of students =(y+1)(x−2)=xy
⇒xy−2y+x−2=xy
⇒x−2y=2 ...(1)
Case 2
Total no of students =(y−1)(x+3)=xy
⇒xy+3y−x−3=xy
⇒x−3y=−3 ...(2)
Subtracting eq(1) from eq(2) we get
−y=−5
⇒y=5
Putting the value of y in eq(1)
x−2(5)=2
⇒x=12
Hence we get x=12 and y=5
Total no. of students =xy=60
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Answer:
Students were standing in rows for mass drill. if one student is extra in a row , there would be 2 rows less. if one student is less in a row , there would be 3 rows more. find the numbers of students in the class room. Elizabeth II is Queen of the United Kingdom and 14 other Commonwealth realms. Elizabeth was born in Mayfair, London, as the first child of the Duke and Duchess of York. Her father acceded to the throne in 1936 upon the abdication of his brother, King Edward VIII, making Elizabeth the heir presumptive.
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