Question

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

• A. \(7 \)
• B. \(8 \)
• C. \(9 \)
• D. \(10 \)

Hint:

Always carefully check who the comparison pronoun refers to! In the phrase "A is two years older than B who is twice...", the word "who" refers directly to B. Defining the youngest person as \(x\) avoids handling negative values or fractions.

Answer 1

The Correct Option is D

Step 1: Variables.
Let C=x, B=2x, A=2x+2. Total: $5x+2=27 \Rightarrow x=5$. B$=2\times5$ \[ \boxed{10} \]