31) D

Let total score of Sables be = S
Therefore, total score of Argents = S+1

Fess = 7 points
Pale = 2 points

SABLES
Number of fesses = number of pales
Let this number be N
Number of points scored by fesses = N x 7 = 7N
Number of points scored by pales = N x 2 = 2N
S = 7N + 2N = 9N ——-eq 1

ARGENTS
Argents scored one less fess than Sables.
Number of fesses for Argents = N-1
We know Argents score twice as many pales than fesses.
Number of pales = 2(N-1)
Number of points scored by fesses = (N-1) x 7 = 7N – 7
Number of points scored by pales = 2(N-1) x 2 = (2N-2) x 2 = 4N-4
S+1 = 7N – 7 + 4N – 4 = 11N – 11
S = 11N – 11 – 1 = 11N – 12—— eq 2

From eq 1 and eq 2, we get:
9N = 11N – 12
12 = 11N – 9N
12 = 2N
N = 6

Argents score 2(N-1) pales and N = 6
Number of pales scored by Argents = 2(6-1) = 2(5) = 10

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