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, $a+b=16$
$\therefore 16+c=9 c-72$
$\Rightarrow 9 c-c=72+16$
$\Rightarrow 8 c=88 \Rightarrow c=11$