696 students are to be sitting in a hall in such a way that each row contains as many students as the number of rows. How many rows will be there if 20 students were left after the arrangement?
Answers
Answer:
it is type of example hope you understand
Given :- 696 students are to be sitting in a hall in such a way that each row contains as many students as the number of rows.
To Find :- How many rows will be there if 20 students were left after the arrangement ?
Solution :-
→ Total students sitting in hall = 696
→ Students left after the arrangment = 20
So,
→ Total students sitting in all rows = 696 - 20 = 676
now, let us assume that, there are x students sitting in each row .
then,
→ Total students in each row = x
and,
→ Total number of rows = Total students in each row = x
therefore,
→ Total students sitting in all rows = Total students in each row × Total number of rows
→ 696 = x * x
→ x² = 696
→ x² = 2 * 2 * 13 * 13
→ x² = 2² * 13²
→ x² = (2 * 13)²
→ x² = 26²
→ x = 26
hence,
→ Total number of rows = x = 26 (Ans.)
There will be 26 rows in the hall .
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