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value of C?

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by sanju09 » Wed May 02, 2012 4:28 am
A B
+ C
+ D
+ E
_____

A F
_____

In the correctly worked addition problem above, A, B, C, D, E, and F represent six different digits. What is the largest possible value of C?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8



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by Anurag@Gurome » Wed May 02, 2012 4:40 am
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by krishna239455 » Wed May 02, 2012 5:46 am
Hi Anurag
I did not get your answer "delete"
As per me the answer should be 6.
wat do u say?
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by krishna239455 » Wed May 02, 2012 5:48 am
Hi Anurag
I did not get your answer "delete"
As per me the answer should be 6.
wat do u say?
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by klmehta03 » Wed May 02, 2012 12:11 pm
IMO c

70
+6
+2
+1
___
79
OA pls?
Last edited by klmehta03 on Thu May 03, 2012 3:33 am, edited 2 times in total.
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by spartacus1412 » Wed May 02, 2012 7:55 pm
10A+B+C+D+E = 10A +F
B+C+D+E = F
since all are different and F is to be maximized
let B=0
D =1
e =2
F =9
hence, C can be 6.
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by shantanu86 » Wed May 02, 2012 11:06 pm
Clearly the answer is [spoiler]6 [C][/spoiler]

Explanation
A B
+ C
+ D
+ E
_____

A F
_____
Since A is left unaltered we can conclude that the carry part of addition is 0
=> B+C+D+E <=9
For max C and different BCDEA we have

0+1+2+C = 9
=> C = 6

Hope it helps!!
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