Discussion Forum

What is the difference between the ages of A and B?
I) The ratio between the ages of A and B is 2:3
II) B's age is 50% more than A's age.
III) One-fourth of A's age is equal to one-sixth of B's age.

Answer:

Explanation:

I) $A:B=2:3$
$\Rightarrow \frac{A}{B} = \frac{2}{3}$
$\Rightarrow 3A = 2B$.

II) $B=\frac{150}{100}A$
$\Rightarrow B = \frac{3A}{2}$
$\Rightarrow 3A = 2B$.

III) $\frac{1}{4}A$ $=\frac{1}{6}B$
$\Rightarrow 6A = 4B$
$\Rightarrow 3A = 2B$.
Thus, even I, II and II together do not give the answer.
$\therefore$ Correct answer is (E).