Question 464436: Ace, Bea, Cec, Dee, Eve, Fie and Geo are 1, 2, 3, 4, 5, 6 and 7 years old in some order. Dee is 3 times older than Bea. Cec is four years older than Eve. Fie is older than Ace and Ace is older than Geo, but the combined ages of Ace and Geo is greater than the age of Fie. What is Ace's age?
Answer by jjordan95(63)   (Show Source):
You can put this solution on YOUR website! D=3B
C=E+4
F>A
A>G
A+G>F
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D is either 3 or 6.
B is either 1 or 2
C is either 5, 6 or 7.
F is either 2, 3, 4, 5, 6 or 7.
E is either 1 or 2
G is either 2, 3, 4, 5, or 6.
Since B and E must be either 1 or 2, F and G cannot be 1 or 2.
D is either 3 or 6.
C is either 5, 6 or 7.
F is either 3, 4, 5, 6 or 7.
G is either 3, 4, 5, or 6.
If we say E is 2 and B is 1, then C is 6, and D is 3.
D is 3.
B is 1
C is 6
F is either 4, 5 or 7.
E is 2
G is either 4 or 5.
Since F>A, A>G, and A+G>F then F must be 7, A must be 5 and G must be 4.
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