Home » Aptitude » Simplification

If ab+c=bc+a=Cb+a then which one of the following statements is correct?

Correct Answer: Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)


Taking reciprocal and adding 1 to each ratio we get;


(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1


Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c


So this can only be equal when a=b=c or a+b+c = 0


When a=b=c we get


a/(b+c)= ½When a+b+c = 0 we get


b+c = -a


So a/(b+c) = -1


So the ratios are ½ or -1


← Previous Question Next Question→

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion