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Q. The seven digits in this subtraction problem are 0, 1, 2, 3, 4, 5 and 6. Each letter represents the same digit whenever it occurs.
D A D C B
- E B E G
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B F E G
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What digit is represented by each letter?
Read Solution (Total 8)
-
- Take A=2
B=6
C=0
D=1
E=5
F=4
G=3 - 11 years agoHelpfull: Yes(18) No(3)
- E B E G
+ B F E G
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D A D C B
its obvious that D=1 & G+G=B means B is an even number
to make D=B+F=1 possible pairs of B,F are:
B=6,F=5, with no carry (case 1)
B=4,F=6,with a carry 1 (case 2)
B=6,F=4, with a carry 1(case 3)
case 1:
D=1
F=5
B=6 means G=3
now E+E=C & remaining digits=0,2,4
possible E,C pair is only E=2,C=4
substituting B,C,D,E,F,G with their values we get A=9 (not possible as desired value A=0)
case 2:
D=1
F=6
B=4 means G=2
now E+E=C & remaining digits=0,3,5
possible E,C pair is only E=5,C=0
substituting B,C,D,E,F,G with their values we get A=0 (not possible as C is already 0, desired value A=3)
case 3:
D=1
F=4
B=6 means G=3
now E+E=C & remaining digits=0,2,5
possible E,C pair is only E=5,C=0
substituting B,C,D,E,F,G with their values we get A=2 ( Answer)
- 10 years agoHelpfull: Yes(5) No(0)
- prabudha plz send the logic behind this
- 11 years agoHelpfull: Yes(3) No(1)
- the indentation of the question is not right..makes it diffult to solve
- 11 years agoHelpfull: Yes(2) No(1)
- we can do it in this way...
7 2 7 6
E B E G
2 8 7 6
+ B F E G
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D A D C B
1 0 1 5 2 THE VALUES OF LETTERS IS WRITTEN ABOVE THE CORRESPONDING LETTERS... - 10 years agoHelpfull: Yes(1) No(3)
- in this type of question add two small digit here add E B E G + B F E G = D A D C B
- 10 years agoHelpfull: Yes(0) No(1)
- Please give me solution how to resolve it
- 10 years agoHelpfull: Yes(0) No(0)
- better to check options
- 10 years agoHelpfull: Yes(0) No(0)
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i) Valentine is 4 years older than his twin brothers.
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