What is the difference between the greatest and the smallest number,if the average of (x+4),(x-4),(2x-4) and x is 14
Answers
Answer:
10.4
Step-by-step explanation:
So the no.s are : (x + 4), (x - 4), (2x - 4), x
Given, avg = 14
Sum of the no.s
Average = ------------------------------
No. of the given no.s
(x + 4) + (x - 4) + (2x - 4) + x
14 = ------------------------------------------
4
14 × 4 = (x + 4) + (x - 4) + (2x - 4) + x
56 = 5x - 4
52 = 5x
⇒ x = 52 ÷ 5
∴ x = 10.4
Substituting x, we get:
x + 4 = 10.4 + 4 = 14.4
x - 4 = 10.4 - 4 = 6.4
2x - 4 = 2(10.4) - 4 = 20.8 - 4 = 16.8
x = 10.4
Hence, the no.s are 14.4, 6.4, 16.8 and 10.4
Difference b/w greatest and smallest no.:
Here, 16.8 is the greatest, and 6.4 is the smallest.
∴ 16.8 - 6.4 = 10.4