what is above image answer?
Answers
Answer:
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
|| ||
13 8
3.5 + 4.5 = 8
+ +
9.5 - 3.5
|| ||
13 8
Step-by-step explanation:
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
|| ||
13 8
3.5 + 4.5 = 8
+ +
9.5 - 3.5
|| ||
13 8