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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

 Nov 11, 2017
 #1
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 a+b=c, a+c=d, and b=c+d 

 

Rearrange as

c = b - d     (1)

c = d - a     (2)

c = a + b    (3)

 

Subtract (2)  from (1)

0 = (b - d) + (a - d)

d - a  = b - d

2d = a + b     So,  a + b  = c ⇒  c = 2d    and   b = 2d + d ⇒ b = 3d

 

So

a + 3d  = 2d

a = -d

 

 

cool cool cool

 Nov 11, 2017
 #2
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Thank you for answering this question however I was looking for a numerical value for a.

 Nov 11, 2017

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