Question

The average of 5 consecutive numbers is 65.The average of their squares is

Option
1)144
2)152
3)169
4)171​​

Answer 1

Answer:

Let the five numbers be n, n+1, n+2, n+3 and n+4.

Then n+n+1+n+2+n+3+n+4 = 65.

So 5n+1+2+3+4 = 65.

So 5n+10 = 65.

So 5n = 65–10 = 55.

So n = 55/5 =11.

So the five numbers are:

11, 12, 13, 14 and 15.