?
The average of five consecutive odd numbers is 95. What is the fourth number in the descending order?
Answer & Solution
Correct Answer:
Option
E
Let the numbers be x, x + 2, x + 4, x + 6 and x + 8
Then,
$$ \Rightarrow \frac{{x + \left( {x + 2} \right) + \left( {x + 4} \right) + \left( {x + 6} \right) + \left( {x + 8} \right)}}{5} $$ $$= 95$$
$$\eqalign{ & \Rightarrow 5x + 20 = 475 \cr & \Rightarrow 5x = 455 \cr & \Rightarrow x = 91 \cr} $$
So, the numbers are 91, 93, 95, 97 and 99
Clearly, the fourth number in the descending order is 93
Then,
$$ \Rightarrow \frac{{x + \left( {x + 2} \right) + \left( {x + 4} \right) + \left( {x + 6} \right) + \left( {x + 8} \right)}}{5} $$ $$= 95$$
$$\eqalign{ & \Rightarrow 5x + 20 = 475 \cr & \Rightarrow 5x = 455 \cr & \Rightarrow x = 91 \cr} $$
So, the numbers are 91, 93, 95, 97 and 99
Clearly, the fourth number in the descending order is 93
Join the Discussion
Login to post a comment or share your explanation.
Login