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Funke, Adamu, Shehu, Kwame and Tanko play a game of cards Funke says to Adamu “if you give me 3 cards you will have as many as Tanko had and if I give you 3 cards you will have as many as Kwame has” Funke and Adamu together have 10 cards more than what Kwame and Tanko together have, if Adamu has 2 cards more than Shehu has and the total number of cards is 133 how many cards does Adamu have​

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prachidhruw07

Answer:

Adamu have 25 cards.

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Adamu has 25 Cards

This involves basic arithmetic calculations and simultaneous equations.

Let the following letters represent the number of cards each has;

A: ADAMU

F: FUNKE

S: SHEHU

K: KWAME

T: TANKO

  • If adamu gives funke 5 cards, he will have as many as tanko. Thus; A - 5 = T  --- eq 1
  • If funke gives adamu 4 cards, he will have as many as kwame. Thus; A + 4 = K  --- eq 2
  • Funke and adamu have a total of 13 more cards than the total that kwame and tanko have. Thus; A + F = K + T + 13   --- eq 3
  • Adamu has 2 cards more than what Shehu has. Thus; A - 2 = S  --- eq 4

- From online research, the Total Number of cards is 134 and not 133. Thus;

A + F + K + S + T = 134  --- eq 5

Let's put A - 5 = T and A + 4 = K in eq 3 to get;

A + F = (A + 4) + (A - 5) + 13

A + F = 2A + 12

F = 2A - A + 12

F = A + 12

Let's put A - 2 = S ; F = A + 12 ; A - 5 = T and A + 4 = K into eq 5 to get;

A + A + 12  + A + 4 + A - 2 + A - 5 = 134

Simplifying gives;

5A + 9 = 134

5A = 134 - 9

5A = 125

A = 125/5

A = 25

Adamu has 25 Cards

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