Answer:
a = 12
b = 9
c = 15
d = 17
e = 20
f = 11
g = 14
Explanation:
Given that
(a + b) = 21 ...... (1)
(b + c) = 24 ........ (2)
(c + d) = 32 ........ (3)
(d + e) = 37 ........ (4)
(e + f) = 31 .......... (5)
(f + g) = 25 ........ (6)
(g + a) = 26 ......... (7)
Hence, adding all the equations we get, 2(a + b + c + d + e + f + g) = 196
⇒ (a + b + c + d + e + f + g) = 98 ...... (8)
Adding equations (2), (4) and (6), we get (b + c + d + e + f + g) = 86.
Therefore, from equation (8), we get a = 98 - 86 = 12 (Answer)
Adding equations (3), (5), and (7) we get,
a + c + d + e + f + g = 89
Hence, from equation (8), we have b = 98 - 89 = 9 (Answer)
Similarly, adding equations (1), (4), and (6) we get,
a + b + d + e + f + g = 83,
Hence, c = 98 - 83 = 15 (Answer)
Now, adding equations (2), (5) and (7), we get
a + b + c + e + f + g = 81. Hence, d = 98 -81 = 17 (Answer)
Adding equations (1), (3), and (6)
a + b + c + d + f + g = 78. Hence e = 98 - 78 = 20 (Answer)
Adding equations (2), (4), and (7)
a + b + c + d + e + g = 87. Hence f = 98 - 87 = 11 (Answer)
Adding equations (1), (3), and (5)
a + b + c + d + e + f = 84. Hence g = 98 - 84 = 14 (Answer)