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When a number is decreased by 40% of itself, the result is 102. What is the number 

To solve the problem "When a number is decreased by 40% of itself, the result is 102," we can use the following steps:

Let the unknown number be \( x \).

The problem says that the number is decreased by 40% of itself, so:

\[
x - 0.4x = 102
\]

Simplifying the left-hand side:

\[
0.6x = 102
\]

Now, solve for \( x \) by dividing both sides by 0.6:

\[
x = \frac{102}{0.6} = 170
\]

So, the number is **170**.

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. What is 30% of 170?
2. If 60% of a number is 150, what is the number?
3. A number is decreased by 20% and the result is 96. What is the original number?
4. What number becomes 180 after being increased by 25%?
5. If 45% of a number is subtracted from itself, the result is 220. What is the number?

**Tip:** When solving problems involving percentages, it's often helpful to express the percentage as a decimal. For example, 40% becomes 0.4.

When a number is decreased by 40% of itself, the result is 102. What is the number?

Learn how to solve the algebraic problem 'When a number is decreased by 40% of itself, the result is 102.' This solution covers percentage calculations and basic algebra, suitable for students in Grades 6-8.

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