What algebraic equation can you use to find MN?

Question

 

Algebra Point O lies between points M and P on line. OM=34z and OP:=36z-7. If point N is the midpoint of MP,?

Answer 1

Point O lies between point M and P on line.

So, MP = MO + OP

If point N is the midpoint then MP = MN + NP

Here (O = N), OM = NM = 34z, and OP = NP = 36z - 7

MP = 34z + 36z - 7.

MP = 70z - 7.

Take out common term 7.

MP = 7(10z - 1).

Comments

MN = (70z - 7)/2.

Answer 2

For current situation, draw a diagram.

Point O lies between points M and N.

So, MP = OM + OP

= 34z + 36z - 7

⇒ MP = 70z - 7 → ( 1 ).

Point N is the mid point of MP.

MP = MN + NP.

Where, MN = NP.

MP = MN + MN

MP = 2MN

MN = MP/2

⇒ MN = (70z - 7)/2.       (From eq (1))