The sum of the lengths of the three segments is 42 cm. The length of the second segment is 3 times longer than the first

univerkov | November 30, 2020 | education

The sum of the lengths of the three segments is 42 cm. The length of the second segment is 3 times longer than the first, and the length of the third is 2 cm longer than the first. Find the length of the second line.

Let’s denote the length of the first segment as x. Then the second will be equal to 3x, and the third will be x + 2.
Let’s find their sum:
x + 3x + x + 2 = 42
5x = 40
x = 8 is the length of the first segment
means the length of the second = 3 * 8 = 24
Answer: 24

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