Average Ques 3

Question-

There are three positive numbers, $\frac{1}{3} rd$ of averge of all the three numbers is 8 less than the value of the highest number. Average of the lowest and the second lowest number is 8 . Which is the highest number?

(1) 11

(2) 14

(3) 10

(4) 9

(5) 13

(IBPS RRBs Officer Scale-I & II CWE 12.09.2015)

Show Answer

Correct Answer: (1)

Solution: (1)

Let the numbers be:

$a<b<c$

According to the question,

$\frac{a+b+c}{3 \times 3}=c-8$

$\Rightarrow a+b+c=9 c-72$

Again, $a+b=16$

$\therefore 16+c=9 c-72$

$\Rightarrow 9 c-c=72+16$

$\Rightarrow 8 c=88 \Rightarrow c=11$