if A+B=13, B-C=6, D+C=8 and A+D=8 then what is the value of A,B,C and D
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Step-by-step explanation:
Given a + b = 8 ---- (1)
a + c = 13 ---- (2)
c - d = 6 ---- (3)
b + d = 8 ---- (4)
On solving 4 equations, we get.
a + b + a + c + c - d + b + d = 35
2a + 2b + 2c = 35
a + b + c = 17.5 ---- (5)
Substitute (1) in (5), we get
8 + c = 17.5
c = 9.5 ----------- (6).
Substitute (6) in (2)
a + 9.5 = 13
a = 3.5 --------------- (7)
Substitute (6) and (7) in (5), we get
3.5 + b + 9.5 = 17.5
b + 13 + 17.5
b = 4.5 -------- (8).
Substitute (8) in (4), we get
4.5 + d = 8
d = 3.5.
The values of a = 3.5,b = 4.5, c = 9.5, d = 3.5.
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