Question 60568
Let the Adults be “x”
And Children be “y”
Given 9x + 8y = 193 ------------(1)
      x +y    = 23  ------------(2)
Now solve the above equations,
Consider the second equation, 
x + y   = 23
x = 23 – y         ------------(3)
Now substitute equation (3) in equation (1), we get
9(23 –y)+ 8y = 193
207 – 9y + 8y = 193
207 – y =  193
207 -193 = y 
 14 = y
Therefore the number of the children attended the play are 14.