Each of the five characters in the word BRAIN has a
different value between 0 and 9. Using the given grid, can
you find out the value of each character?
B R A I N 31
B B R B A 31
N I A B B 32
N I B A I 30
I R A A A 23
37 29 25 27 29
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Answer / guest
The numbers on the extreme right represent the sum of the
values represented by the characters in that row. Also, the
numbers on the last raw represent the sum of the values
represented by the characters in that column. e.g. B + R + A
+ I + N = 31 (from first row)
B=7, R=6, A=4, I=5 and N=9
Make total 10 equations - 5 for rows and 5 for columns - and
sovle them.
From Row3 and Row4,
N + I + A + B + B = N + I + B + A + I + 2
B = I + 2
From Row1 and Row3,
B + R + A + I + N = N + I + A + B + B - 1
R = B - 1
From Column2,
R + B + I + I + R = 29
B + 2R + 2I = 29
B + 2(B - 1) + 2I = 29
3B + 2I = 31
3(I + 2) + 2I = 31
5I = 25
I = 5
Hence, B=7 and R=6
From Row2,
B + B + R + B + A = 31
3B + R + A = 31
3(7) + 6 + A = 31
A = 4
From Row1,
B + R + A + I + N = 31
7 + 6 + 4 + 5 + N = 31
N = 9
Thus, B=7, R=6, A=4, I=5 and N=9
| Is This Answer Correct ? | 7 Yes | 0 No |
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