Banking Reasoning Sample Paper Reasoning Sample Paper-12

The ratio of A's and B's ages is 3 : 2. The product of their ages is 216 yr. Then, the sum of their present ages is

A) 18 yr

B) 30 yr

C) 36 yr

D) 32 yr

Correct Answer: B

Solution :

[b] Let the present ages of A's and B's be 3x yr and 2x yr, respectively.

Now, according to the question.

\[\Rightarrow \] \[3x\times 2x=216\]

\[\Rightarrow \] \[6{{x}^{2}}=216\]

\[\Rightarrow \] \[{{x}^{2}}=\frac{216}{6}=36\]

\[x=6yr\]

So, sum of their present ages

\[=(3x+2x)=5x=5\times 6\]

\[=30yr\]