Question

If LN=54 and LM =31 find MN

Answer 1

I’ll assume that the three points are colinear in the consecutive order L, M, N.
Therefore, LN would be the whole line, and LM would be part. Subtracting 31 (LM) from the whole 54 (LN) gives us a value of 23 for MN.

Answer 2

Explanation:

Points are said to be collinear if they all lie on a line .

Let points L , M, N be collinear i.e they all lie on a line .

Consider the following figure :

Given :

LN = 54 units

LM = 31 units

To find : MN

Solution :

Clearly we can see LM + MN and LN coincides each other and we know that two things which coincide are equal to each other .

Therefore , LM + MN = LN

31 + MN = 54

On transposing 31 to RHS , we get MN = 54-31 = 23 units

{ Transposition is basically a process of taking one number from side to the other with the opposite operation }