Question

The average age of Seema, Sapna, Asha, Kavita and Atrye is $40$ years. The average age of Seema and Sapna is $35$ years and the average age of Asha and Kavita is $42$ years. The age of Atrye is?

• A. $48$
• B. $47$
• C. $46$
• D. $32$

Answer 1

The correct option is C $46$

Let the $Ag$ of 5 eema $\left(a\right),$

5 apn $a\left(b\right),$ Ash $a\left(C\right)$, $K$ kavita $\left(d\right)$

and Atrye ( $e)$.

A/q, $\frac{a+b+c+d+e}{5}=40$

$\Rightarrow a+b+c+d+e=200-$ (i)

and $\frac{a+b}{2}=35$

$\Rightarrow a+b=70$ -(ii)

and $\frac{c+d}{2}=42$

$\Rightarrow c+d=84$ - (ii)

Now, eq: (i) $-($ (ii) $+\left(ii\right)$, we got

$$\begin{array}{cc}e& =200-(70+84)\\ & =46\end{array}$$