ALGEBRA Find the value of n and WX if Wis between X and Y, WX = 6n - 10, XY = 17, and WY= 3n. A. n= 3; WX-8 B. n = 3; WX = 9 C. n= 9; WX= 27 D. n= 9; WX = 44

Option (a) is correct n = 3 and WX = 8

Explanation:

It is given that, W lies in between X and Y. It means W is the mid point of X and Y. So,

XY = WX+WY (1)

We have, WX = 6n - 10, XY = 17, and WY= 3n

Putting the values in equation (1)

17 = 6n - 10 +3n

17 = 9n-10

Adding 10 both sides,

17+10 = 9n-10+10

27 = 9n

⇒ n = 3

We have, WX = 6n - 10

Put n = 3,

WX = 6(3) - 10

WX = 18-10 = 8

Hence, n = 3 and WX = 8