The length of the side AB of the triangle is 12 cm longer than the length of the side BC. If the length AB is increased

The length of the side AB of the triangle is 12 cm longer than the length of the side BC. If the length AB is increased by 13 cm, and the length of the BC is increased by 6 times, then equal segments are obtained. Find the length of the side AB.

Let us take the length of the side AB as x, then:

x – 12 – BC side length;

x + 13 – increased length AB;

6 * (x – 12) – increased length BC.

We get the equation:

x + 13 = 6 * (x – 12);

x + 13 = 6x – 72;

5x = 85;

x = 17 cm.

Answer: the required size of the side AB is 17 cm.