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Anika and Anushree always used to spend their time by playing coin games after their school hours. Once they decided to play a game of coins in which one player has to guess the number of coins by closing her eyes with the help of clues given by other player. During Anika’s turn, she closed Anushree’s eyes and put some coins on table. She then gave her clue by saying that one fourth of coins are showing their heads but if I turn over two coins then in that case, one third of them will show heads. So, Anushree can you guess how many number of coins I initially placed on the table?

Anika and Anushree always used to spend their time by playing coin games after their school hours. Once they decided to play a game of coins in which one player has to guess the number of coins by closing her eyes with the help of clues given by other player. During Anika’s turn, she closed Anushree’s eyes and put some coins on table. She then gave her clue by saying that one fourth of coins are showing their heads but if I turn over two coins then in that case, one third of them will show heads. So, Anushree can you guess how many number of coins I initially placed on the table? Correct Answer 24

⇒ As the fraction of heads is increasing after turning over two coins, both the coins were previously showing tails and now are showing heads.

⇒ Now,let the total number of coins placed by Anika on table = x

⇒ Previously, number of coins showing heads previously were x/4 and currently number of coins showing heads are x/3

⇒ x/4 + 2 = x/3

⇒ 2 = x/3 – x/4

⇒ 2 = x/12

⇒ x = 24

∴ Number of coins placed on table by Anika = 24

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