Question

students of a school be made to stand in rows for drill if 3 students plus face reading in each row 10 more rows with required in 5 students more understanding in each row the number of rows was reduced by 10 find the number of students participating in Israel

Answer 1

8student participating in Israel. ....

Answer 2

Step-by-step explanation:

Let the number of rows be x and the number of students in a row be y.

So, the total number of students = xy.

(i)

3 students less were standing in each row. 10 more rows were required.

⇒ (y - 3)(x + 10) = xy

⇒ xy + 10y - 3x - 30 = xy

⇒ -3x + 10y = 30

⇒ 3x - 10y = -30   ------ (1)

(ii)

Given, 5 more students were standing then the numbers of rows were reduced by 10.

⇒ (y + 5)(x - 10) = xy

⇒ xy - 10y + 5x - 50 = xy

⇒ 5x - 10y = 50    ------ (2)

On solving (1) & (2), we get

⇒ 3x - 10y = -30

⇒ 5x - 10y = 50

   -------------------

    -2x = -80

       x = 40.

Substitute x = 40 in (1), we get

⇒ 3x - 10y = -30

⇒ 3(40) - 10y = -30

⇒ 120 - 10y = -30

⇒ -10y = -30 - 120

⇒ y = 15.

Therefore, number of students = xy = 600.

Hope this helps!