Quiz 11

 

Given:

⇒ 2 Pawn = Knight, and

⇒ Knight + Pawn = Bishop

From Equation 3rd:

⇒ Knight & Pawn + Knight & Pawn + Knight & Pawn = 18

⇒ (Knight + Pawn) + (Knight + Pawn) + (Knight + Pawn) = 18

Given: 2Pawn = Knight, therefore;

⇒ (Pawn + Pawn + Pawn) + (Pawn + Pawn + Pawn) + (Pawn + Pawn + Pawn)  = 18

⇒ (3Pawn) + (3Pawn) + (3Pawn) = 18

⇒ 9 Pawn = 18

⇒ Pawn = 18/9 = 2

⇒ Pawn = 2

>>> Again equation 3rd:

⇒ (Knight + Pawn) + (Knight + Pawn) + (Knight + Pawn) = 18

Put Pawn value i.e. 2

⇒ (Knight + 2) + (Knight + 2) + (Knight + 2) = 18

⇒ Knight + 2 + Knight + 2 + Knight + 2 = 18

⇒ 3 Knight + 6 = 18

⇒ 3 Knight  = 18 – 6

⇒ 3 Knight  = 12

⇒ Knight  = 12/3 = 4

⇒ Knight  = 4

Given: Knight + Pawn = Bishop, (rewrite the equation 3rd)

⇒ (Knight + Pawn) + (Knight + Pawn) + (Knight + Pawn) = 18  (Equation 3rd)

⇒ Bishop + Bishop + Bishop = 18

⇒ 3Bishop = 18

⇒ Bishop = 18/3

⇒ Bishop = 6

 

From Equation 1st:

⇒ Queen & Pawn + Queen & Pawn + Queen & Pawn = 30

⇒ (Queen + Pawn) + (Queen + Pawn) + (Queen + Pawn) = 30

Put the value of Pawn = 2, we get;

⇒ (Queen + 2) + (Queen + 2) + (Queen + 2) = 30

⇒ Queen + 2 + Queen + 2 + Queen + 2 = 30

⇒ 3 Queen + 6 = 30

⇒ 3 Queen  = 30 -6

⇒ 3 Queen  = 24

⇒ Queen  = 24/3

⇒ Queen = 8

From Equation 2nd:

⇒ Bishop & Rook + Bishop & Rook + Queen & Rook = 35

⇒ (Bishop + Rook) + (Bishop + Rook) + (Queen + Rook) = 35

Put the value of Bishop = 6 and Queen = 8, we get;

⇒ (6 + Rook) + (6 + Rook) + (8 + Rook) = 35

⇒ 6 + Rook + 6 + Rook + 8 + Rook = 35

⇒ 20 + 3 Rook = 35

⇒ 3 Rook = 35 -20

⇒ 3 Rook = 15

⇒ Rook = 15/3

⇒ Rook = 5

>>Now we have:

Pawn = 2, Knight = 4, Bishop = 6, Rook = 5, and Queen = 8

Last Equation:

⇒ Bishop + Rook × Knight − Queen = King & Pawn

⇒ 6 + 5 × 4 − 8 = (King & Pawn)

⇒ 6 + 20 − 8 = (King & Pawn)

⇒ 26 − 8 = (King & Pawn)

⇒ 18 = (King & Pawn)

Now we know:

⇒ King + Pawn = 18 (Put Pawn value i.e 2)

⇒ King + 2 = 18

⇒ King = 18 – 2

⇒ King = 16 (Answer)

Posted by Abu Fathan on Monday, January 18, 2021 - Rating: 4.5

Title : Quiz 11
Description :   Given: ⇒ 2 Pawn = Knight, and ⇒ Knight + Pawn = Bishop From Equation 3rd: ⇒ Knight & Pawn + Knight & Pawn + Knight & Pawn = 18...

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