XX and YY are 2-digits numbers such that their sum is ABA. Find the value of A + B + A?
Explanation:
Here, XX and YY are multiples of 11, hence their sum ABA should also be a multiple of 11.
Also, sum of 2 2-digit numbers cannot exceed 198. ∴ A = 1 and ABA = 1B1.
Now, 1B1 should be a multiple of 11. This is only possible when B = 2.
Hence, A = 1 and B = 2
⇒ A + B + A = 1 + 2 + 1 = 4
Hence, option (a).
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