605 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

Question: 605 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

Solution:
Let Children = X
A/Q,
605/X = 20% of X
⇒ 605/X = X/5
⇒, X² =5 × 605
⇒ X² = 5² × 11²
X = 55

So each children receive = 605/55
= 11