Question

У Ани 2 ленты:зеленая и желтая.Зеленая лента на 3 дм длиннее жолтой.Аня отрезала от зелленой ленты 6 дм, а желтой-2 дм.Какая лента после этого стала длиннее ? на сколько сантиметров?

Answer 1

Желтая длинее зеленой на 1 дм или 10 см

Answer 2

Problem Analysis

The problem involves two ribbons, green and yellow, with the green ribbon being 3 cm longer than the yellow ribbon. After cutting 6 cm from the green ribbon and 2 cm from the yellow ribbon, we need to determine which ribbon became longer and by how many centimeters.

Solution

To solve this problem, we can follow these steps: 1. Calculate the original lengths of the green and yellow ribbons. 2. Determine the lengths of the ribbons after cutting. 3. Compare the lengths to find out which ribbon became longer and by how many centimeters.

Calculation

1. Original Lengths of Ribbons: - Let's assume the original length of the yellow ribbon is y cm. - Since the green ribbon is 3 cm longer, its original length is y + 3 cm.

2. Lengths After Cutting: - After cutting 6 cm from the green ribbon, its length becomes (y + 3) - 6 cm. - After cutting 2 cm from the yellow ribbon, its length becomes y - 2 cm.

3. Comparison: - We need to compare the lengths of the ribbons after cutting to determine which one became longer.

Final Comparison

- If (y + 3) - 6 > y - 2, then the green ribbon became longer. - If (y + 3) - 6 = y - 2, then the lengths are equal. - If (y + 3) - 6 < y - 2, then the yellow ribbon became longer.

Let's calculate the final lengths and determine which ribbon became longer.

Calculation

- The expression (y + 3) - 6 simplifies to y - 3. - We need to compare y - 3 with y - 2 to determine which one is longer.

Final Comparison

- If y - 3 > y - 2, then the green ribbon became longer by 1 cm. - If y - 3 = y - 2, then the lengths are equal. - If y - 3 < y - 2, then the yellow ribbon became longer by 1 cm.

Conclusion

Based on the comparison, the yellow ribbon became longer by 1 centimeter after the cutting.

Therefore, the yellow ribbon became longer by 1 centimeter.

I hope this helps! If you have further questions, feel free to ask.