BTGmoderatorDC wrote: ↑

Sat Aug 29, 2020 7:13 pm

If Aidan were 10 years older, he would be twice as old as Tucker. Is Aidan older than Tucker?

(1) Tucker is older than 8

(2) Aidan is younger than 100


OA B

Source: Veritas Prep

There is a typo, in option B it should be younger than 10 NOT 100.

BTGmoderatorDC wrote: ↑

Sat Aug 29, 2020 7:13 pm

If Aidan were 10 years older, he would be twice as old as Tucker. Is Aidan older than Tucker?

(1) Tucker is older than 8

(2) Aidan is younger than 100


OA B

Source: Veritas Prep

\(A + 10 = 2T \)

Question is
\(A > T \)
\(A > \dfrac{A+10}{2}\)
\(2A > A + 10\)
\(A > 10\)

And
\(A > T\)
\(2T - 10 > T\)
\(T > 10\)

So, the question is simplified:
\(A > 10\) OR \(T > 10\)

Statement 1: Tucker is older than \(8 \Rightarrow T > 8 \Rightarrow \)Insufficient to tell if \(T > 10 \quad\Large{\color{red}\chi}\)

Statement 2: Aidan is younger than \(10 \Rightarrow A < 10 \rightarrow\) directly answers our question \(\Large{\color{green}\checkmark}\)

Therefore, the correct answer is B