Question

A+b=8
C+d=6
A+c=13
B+d=8

Answer 1

Answer:

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A + B = 8 ----(1)

C - D = 6 ----(2)

A + C = 13 ----(3)

B + D = 8 ---(4)

equating eq (1) and eq (4)

A + B = B + D

A = D ----(5)

substituting eq (5) in eq ( 2)

C - A = 6

C = 6 + A ---(6)

substituting eq (6) in eq (3)

A + 6 + A = 13

2A = 7

A = 3.5

A = D = 3.5 -----(7)

substituting eq (7) in eq (1)

B = 8 - 3.5

B = 4.5 ----(8)

substituting eq (7) in eq (2)

C - D = 6

C = 6 + 3.5

C = 9.5

Verification

A + B = 8

+ +

C - D = 6

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13 8

3.5 + 4.5 = 8

+ +

9.5 - 3.5

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13 8