Question

If the average of 5 consecutive even numbers is 10, then find the number at the centre when these five numbers are arranged in ascending order.

• A. 10
• B. 20
• C. 12
• D. 14

Answer 1

Answer:

A. 10

$x,x+2,x+4,x+6,x+8$

$\frac{x+x+2+x+4+x+6+x+8}{5}=10$

$5x+20=50$

$5x=30$

$x=6$

center number is $=6+4=10$