Question

Point M lies between points L and N on .

If LN = 12x + 16, what is the length of in units?

16 units
40 units
48 units
64 units

Answer 1

Answer: The answer is d. 64 units

Answer 2

64 units

Explanation:

Since, point M lies between points L and N.

∴ LN = LM + MN

⇒ LN = (10x + 8) + (5x - 4)

⇒ LN = 15x + 4

Also it is given that, LN = 12x + 16

Thus, 16x + 4 = 12x + 16

⇒ 4x = 12

⇒ x = 3

So, LN = 12 × 3 + 16

⇒ LN = 64 units