The average of 8 numbers is 12. If a number Y is added to each of these 8 numbers, then the average becomes 16. What is the value of Y?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 4
Concept Used :
Sum of terms = Average × Number of terms
Given that, average of 8 numbers is 12.
Now, sum of 8 numbers = 12 × 8 = 96
Y is added to each term
So, the new sum = 96 + 8Y
New Average = (96 + 8Y)/8
⇒ 16 = (96 + 8Y)/8
⇒ 96 + 8Y = 128
⇒ 8Y = 128 -96
⇒ 8Y = 32
⇒ Y = 32/8
⇒ Y = 4
Hence the required value of Y is 4.