When 2 is subtracted from each of the given n numbers, then the sum of the numbers so obtained is 102. When 5 is subtracted from each of them, then the sum of the numbers so obtained is 12. What is the average of the given n numbers?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 5.4
Let the average of n terms be y, the sum of n terms would be ny.
⇒ If we subtract 2 from each term ⇒ ny - 2n = 102
⇒ If we subtract 5 from each term ⇒ ny - 5n = 12
By solving both the equations
⇒ n = 30 & y = 5.4