SOLUTION: Given that a+b=c, a+c=d, and b=c+d, where d is a positive integer, what is the greatest value of a?
A)-3 B)2 C)-2 D)1 E)-1
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Question 1128326: Given that a+b=c, a+c=d, and b=c+d, where d is a positive integer, what is the greatest value of a?
A)-3 B)2 C)-2 D)1 E)-1
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Given:
(1) a+b = c
(2) a+c = d
(3) b = c+d
(4) d is a positive integer
Substituting (3) into (1),
a+c+d = c
a+d = 0
a = -d
Since d is a positive integer, a is a negative integer. The greatest value for a is when d has its minimum value of 1; then a is -1.
ANSWER: E) -1
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