Question

The average age of three friends Sam, Samuel, and Chris is $27$ years. If the average age of Samuel and Chris is 29 years, what is the age of Sam in years?

• A.
  $26$
• B.
  $25$
• C.
  $30$
• D.
  $23$

Answer 1

The correct option is D

$23$
Given that:
Average age of Sam, Samuel, and Chris $=27$ years
Average age of Samuel and Chris $=29$ years
Step 1: Sum of total age of Sam, Samuel, and Chris $=$ Average age $\times 3$
$=27\times 3$
$=81\dots \left(1\right)$

Step 2: Sum of total age of Samuel and Chris $=$ Average age $\times 2$
$=29\times 2$
$=58\dots \left(2\right)$
Step 3: Substracting equation $\left(2\right)$ from equation $\left(1\right)$ will give the age of Sam.
So, Sam's age $=81-58$
$=23$ years