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

Answer 1

               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