given that a + b = c , a+c=d and b=c+d , where d is a positive integer, what is the gratest value of a ?
+130514 given that a + b = c , a+c=d and b=c+d , where d is a positive integer, what is the gratest value of a ?
Using the first two equations, we have
a + a + b = d → 2a + b = d
And
d = b - c → 2a + b = b - c → 2a = -c → c = -2a
b = c - a → b = -2a - a → b = -3a
b = c + d → -3a = -2a + d → -a = d → a = - d
