Question 520018
Let
Number of Children = x
Number of Adults = x + 289

Adults + Children = 737
(x+289)+x=737
x+289+x=737
2x=737-289
2x=448
2x/2=448/2
x=224



Number of Children = x = 224
Number of Adults = x + 289 = 224+289=513


Check
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Total Attendance = Adults + Children
737 = 513+224
737=737