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Flag hoisting was done in class on Independence Day. The number of flags received by each child is 1/6 of the total number of children in the class. If the number of children was reduced to 1/3, each child would get 3 flags. How many children are there and how many flags were distributed?

Flag hoisting was done in class on Independence Day. The number of flags received by each child is 1/6 of the total number of children in the class. If the number of children was reduced to 1/3, each child would get 3 flags. How many children are there and how many flags were distributed? Correct Answer 6, 6

According to question,

Let the total children be x

Flag received by each child = 1/6 of total children

⇒ 1/6 × x

⇒ x/6 Flag received by each child

If children reduced = 1/3 of total children

⇒ 1/3 × x

⇒ x/3 child

Now, each child received = 3 flags

Total Flag = Number of child × Flag received by each child

⇒ x/3 × 3

⇒ x Flag

Total children = x 

Total flag = x

When,

Total children = Total flag

Than, there is only one option which satisfies the same condition i.e option (3)

Hence, the correct answer is "option (3)".

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