The length of 120 cm was divided into three parts in a ratio of 1: 2: 3. Find the length of a large segment.

Let’s solve this problem using the equation.

Let the length of the first part be x centimeters, then the length of the second part is 2 * x centimeters, and the length of the third part is 3 * x centimeters. We know that the length of the entire segment is 120 centimeters. Let’s make the equation:

x + 2 * x + 3 * x = 120;

x * (1 + 2 + 3) = 120;

x * 6 = 120 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 120: 6;

x = 20 centimeters – the length of the first part;

20 * 3 = 60 centimeters – the length of the greater part.

Answer: 60 centimeters.