Find the original amount given that after an increase of 20% the length was 24cm

To find the original length before the 20% increase, we can use the following approach:

Let the original length be \( x \). The length increases by 20%, which means the new length is 120% of the original.

So we can set up the equation:

\[
1.2x = 24 \, \text{cm}
\]

Now, solve for \( x \):

\[
x = \frac{24}{1.2}
\]

\[
x = 20 \, \text{cm}
\]

Thus, the original length was 20 cm.

Would you like further details or have any other questions?

Here are 5 related questions to explore:

1. What would the new length be if the original length were 30 cm and increased by 20%?
2. How would you calculate the percentage increase if the new length was 30 cm and the original was 24 cm?
3. If the length decreased by 15%, what would the new length be given the original was 20 cm?
4. Can you express the new length as a fraction of the original after a 25% increase?
5. How do percentage increases and decreases differ in terms of calculation?

**Tip:** When dealing with percentage changes, always convert the percentage to its decimal form by dividing by 100 before applying it in equations.

Find the original amount given that after an increase of 20% the length was 24cm.

Learn how to find the original length before a 20% increase that resulted in a final length of 24 cm. This problem covers key concepts such as percentage increase and algebraic equations, suitable for students in Grades 6-8.

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