Answer:
367
Step-by-step explanation:
Let there be x chair in each row of 9 rows.
So, the number of chair in 9 rows = 9x
As 7 chair left-over, so, the number of chair in a row is more than 7, i.e
Total numbers of the chair
Similarly, let there be y chair in each row of 7 rows.
So, the number of chair in 7 rows = 7x
As 17 chair left-over, so, the number of chair in a row is more than 17, i.e
so total numbers of the chair
From equation (ii) and (iv),
As x and y are the numbers of chairs in a row, so it must be a counting number.
So, to satisfy the equation (iv), the possible values of (x, y) are
and so on.
Now, from equations (i) and (iii), the possible values are
(x,y)= (40,50), (110,140), ...
Now, to get the minimum number of chairs, put x=40 in the equation (ii) or put y=50 in the equation (iv),
So, total number of chair=
For (x,y)=(110,140)
Total number of chair=
Similarly, the other possibility can be determined.
Hence, the total (minimum) number of chair is 367