The average of 5 numbers is 26.4. The first number is one-fifth of the sum of the remaining 4 numbers. What is the first number?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 22.
Given that
The average of 5 numbers = 26.4
The sum of 5 numbers = 26.4 * 5 = 132
According to the question
Ist number = (1/5) * the sum of the remaining 4 numbers
Now,
Ist number + the sum of the remaining 4 numbers = 132
(1/5) * the sum of the remaining 4 numbers + the sum of the remaining 4 numbers = 132
The sum of the remaining 4 numbers = 132 * 5 /6 = 110
Hence, Ist number = 132 - 110 = 22