A , B , C , D, & ,E are five consecutive even numbers. Average of A and E is 46 . largest number

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$A , B , C , D\, \& \,E$ are five consecutive even numbers. Average of $A$ and $E$ is $46 .$ What is the largest number?

A

$52$

B

$42$

C

$50$

D

$48$

Solution

Let $A$ is $x$

Then $E=x+8$

According to the question

$\frac{x+x+8}{2}=46 \Rightarrow 2 x=84 \Rightarrow x=4$

Largest number is $=42+8 \Rightarrow 50$

Standard 13

Quantitative Aptitude

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