You and a friend each s collection of tokens. Initially, for every 8 tokens you had , your friends had

you and a friend each s collection of tokens. Initially, for every 8 tokens you had , your friends had 3. After you give half of your tokens to your friend, your friend now has 18 more tokens than you. Initially, how many more tokens did you have than your friend?

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  1. 30 token

    Step-by-step explanation:

    Since, according to the question,

    Initially, for every 8 tokens I had, my friend had 3.

    Therefore, ratio of tokens that me and my friend is  8 : 3

    Let I have 8 x tokens and my friend has 3 x tokens, where x is any number.

    Then again according to the question,

    After I gave half of your friend, my friend now has 18 more tokens than you.

    That is, (3x + 4x) - 4x = 18

    ⇒ 7x - 4x = 18

    ⇒ 3x = 18

    ⇒ x = 6

    Therefore , Initially the difference between me and my friend's token = 8 x - 3 x = 5 x = 5 × 6 = 30

  2. If your friend now has 18 that means you had 48, as mentioned above, you had given half of your tokens, half of 48 is 24. =24

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