Question :
Point M is between points L and N on line LN. LN = 6x, LM = 4x + 8 and MN =27. Use the information to solve for x, and then find LN.
Solution :
According to the question,
LM + MN = LN,
[tex](4x + 8 ) + 27 = 6x \\ = > 4x + 35 = 6x \\ = > 4x - 6x = - 35 \\ = > - 2x = - 35 \\ = > x = \frac{35}{2} \\ = > x = 17.5[/tex]
Therefore, the value of x is 17.5 units
LN = 6x
[tex]6x = 6 \times 17.5 \\ = 105[/tex]
LN = 105 units.
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