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Question
Let E = 3, B = 7 and A = 4. Find the other digits in the sum
B A S E
+ B A L L
G A M E S
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Solution
B A S E
Given, + B A L L , E = 3, B = 7 and A = 4
G A M E S
7 4 S 3
Now, + 7 4 L L
G 4 M 3 S
In one’s column, we have 3 + L = S or S – L = 3 ...(i)
In ten’s column, we have S + L = 3 ...(ii)
On solving equations (i) and (ii), we get
S = 3 and L = 0
In hundred’s column, we have
4 + 4 = M
∴ M = 8
And in thousand’s column, we have
7 + 7 = G4
14 = G4
∴ G = 1
Hence L = 0, S = 3, M = 8 and G = 1
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