Question 1101187: given that a+b=c, a+b=d and b=c+d, where d is a possible integer, what is the greatest value of a?
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given that a+b=c, a+b=d and b=c+d, where d is a possible integer, what is the greatest value of a?
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(1) a+b = c
(2) a+b = d
Without going further, you should immediately see that these two equations tell you c=d.
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(3) b=c+d (which means b=2c=2d)
Plugging in "2c" for "b" in eq(1):
a + 2c = c —> a = -c (= -d)
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Ans: a = -c (= -d)
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