Question

Шнурок длинной в 1м 80см разрезать на три части так,чтобы вторая была в 3 раза,а третья в два раза длиннее первой.

Answer 1

1м80см=180см
Пусть 1 часть-x ,тогда 2часть-3x,а 3 часть-2x
Так как вся длина шнурка 180см
Составим уравнение
Х+3х+2х=180
6x=180
X=180:6=30(см)длина первой части
2•30=60(см)длина 3части
3•30=90(см)длина 2 части

Answer 2

Solving the Problem of Cutting a Rope into Three Parts

To solve this problem, we need to find the lengths of the three pieces of rope that satisfy the given conditions. Let's calculate the lengths of the three pieces.

1. Given Length of the Rope: - The rope is 1m 80cm long.

2. Calculating the Lengths of the Three Pieces: - Let's assume the lengths of the three pieces are x, y, and z respectively.

3. Conditions: - The second piece is 3 times the length of the first piece: y = 3x - The third piece is 2 times longer than the first piece: z = 2x - The sum of the lengths of the three pieces equals the total length of the rope: x + y + z = 180 cm

4. Solving for the Lengths: - We can use these conditions to solve for the lengths of the three pieces.

- From the condition y = 3x, we can substitute y with 3x in the equation x + y + z = 180 cm to get: x + 3x + 2x = 180 cm 6x = 180 cm x = 30 cm

- Therefore, the lengths of the three pieces are: - First piece (x): 30 cm - Second piece (y): 90 cm (3 * 30 cm) - Third piece (z): 60 cm (2 * 30 cm)

Conclusion

By cutting the rope into lengths of 30 cm, 90 cm, and 60 cm, we satisfy the given conditions.