Let E = 3, B = 7 and A = 4. Find the other digits in the sum B A … - Vidyadip

Question

Let $E = 3, B = 7$ and $A = 4$. Find the other digits in the sum
$\underline{\ \ \ \ \ \text{B}\ \ \text{A} \ \ \text{S}\ \ \ \text{E}\\\text{+}\ \ \text{B}\ \ \text{A} \ \ \text{L}\ \ \ \text{L} }\\\underline{\ \text{G} \ \text{A}\ \text{M} \ \ \text{E}\ \ \ \text{L}\ }$

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Answer

$E = 3, B = 7$ and $A = 4$
Now, In one’s column, we have $3 + L = S$ or $S - L = 3$
In ten’s column, we have $S + L = 3$
On solving eq. $(i) \& (ii)$ we get,
$S = 3$ and $L = 0$
In hundred’s column, we have
$4 + 4 = M$
$M = 8$
& 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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