6 is the answer, how did you get it?
To try a quick way, I looked at only the first two parts, disregarding c/8, because they give me some information about relation between b
b┬▓ = c
Here since you know c = b┬▓, you could use this information in the equation b + c.
b + c
= b + b┬▓
= b(b + 1)
This tells us that the answer should be the product of b
and it's immediate follower: the only answer that satisfies this condition is 6
. 2(2 + 1) = 2*3 = 6.
Of course, the drawback of this technique is that you have to go with an intuition that b
is an integer, otherwise you end up back and top and start all over again. But that doesn't take too long... probably like 30-40 seconds.