Question

If a+b=8, a+c=13, c-d=6, b+d=8 then what are the values of a,b,c,d ????

Answer 1

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.


Hope this helps!