# banana+guava=orange. What is the value of o+r+a+n+g+e?

+1 vote
asked Jul 19, 2014 in Infosys

B A N A N A
G U A V A
---------------------
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
---------------------
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
---------------------
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
---------------------
3 1 4 9 6  8