Points M, K and O lie on one straight line, and points M and K are located on opposite sides of point O

Points M, K and O lie on one straight line, and points M and K are located on opposite sides of point O. Find the lengths of the segments OM and OK if MK = 48 centimeters, and the segment OM: 4 centimeters to the length of the segment OK.

1. Let’s denote the length of the segment OK through x.

2. Determine the length of the segment OM:

(x + 4) cm.

3. Let’s compose and solve the equation:

x + (x + 4) = 48;

x + x + 4 = 48;

2x + 4 = 48;

2x = 48 – 4;

2x = 44;

x = 44: 2;

x = 22.

4. The length of the segment OK is equal to x = 22 cm.

5. What is the length of the OM segment?

x + 4 = 22 + 4 = 26 cm.

Answer: the lengths of the OM and OK segments are 26 and 22 cm.