The average of 4 natural numbers is 162.5. The highest natural number is 326 and the lowest natural number is 74. The difference between the remaining two natural numbers is 44. Which of the following natural numbers is higher of the remaining two natural numbers?

Correct option is A

Given:
Average of 4 numbers = 162.5
Highest number = 326
Lowest number = 74
Difference between the other two numbers = 44
Formula Used:
Sum = Average × Count
Solution:
Calculate the sum of all 4 numbers:
Total Sum = 162.5 × 4 = 650
Let the remaining two numbers be x and y (where x > y).
Sum of the remaining two numbers:
x + y = 650 - (326 + 74)
x + y = 650 - 400 = 250
We are given the difference:
x - y = 44
Add the two equations to solve for x:
(x + y) + (x - y) = 250 + 44
2x = 294
x = 147
Final Answer
So the correct answer is (a)