B A N A N A

G U A V A

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O R A N G E

It is clear that B and O are consecutive. So O - B = 1 and N and E also consecutive. N - E = 1

We start by assuming A = 1

B 1 3 1 3 1

G U 1 V 1

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O R 1 3 G 2

From the above, 1 + G or 1 + 1 + G should be a two digit number. So G is either 8 or 9. But 1 + 1 = 3 is not possible. So A $ \ne $ 1.

Similarly A $ \ne $ 2 as well as 3. For A = 4

B 4 9 4 9 4

G U 4 V 4

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O R 4 9 G 8

From the above, U = 5 and G is 6 for V = 7.

2 4 9 4 9 4

6 5 4 7 4

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3 1 4 9 6 8