Question

The average age of three persons is 60 years. The age of the first person is $\frac{1}{4}$ of the total age of the other persons. What is the age of the first person?

• A. $46$
• B. $56$
• C. $36$
• D. $66$

Answer 1

The correct option is C $36$

Let three person be x, y and z respectively
Then $x+y+z=60\times 3=180$ .... (1)
According to question $x=\frac{1}{4}(y+z)$
$\Rightarrow 4x=y+z$
Then $x+4x=180$
$\Rightarrow 5x=180$
$\Rightarrow x=36years$