A number is multiplied by 3 and product is divided by 2. the result is 15. find the number. let the number be x

Let's solve this step by step.

Given:
- A number \( x \) is multiplied by 3, giving \( 3x \).
- This product is then divided by 2, giving \( \frac{3x}{2} \).
- The result of this operation is 15.

We can write the equation as:
\[
\frac{3x}{2} = 15
\]

To solve for \( x \), follow these steps:

1. Multiply both sides of the equation by 2 to eliminate the denominator:
\[
3x = 30
\]

2. Now, divide both sides by 3:
\[
x = \frac{30}{3} = 10
\]

Thus, the number is \( x = 10 \).

Would you like more details or have any questions?

Here are some related questions you might want to explore:
1. What happens if the result is 20 instead of 15?
2. How can you generalize this problem if the multiplier and divisor are different?
3. What if the number is first divided by 3 and then multiplied by 2?
4. How can this be represented as a function of \( x \)?
5. Can you reverse this operation step by step?

**Tip**: Always check your result by substituting it back into the original problem!

Learn how to find a number x using multiplication and division with a step-by-step solution. Given that a number is multiplied by 3 and the product is divided by 2 resulting in 15. This problem involves basic arithmetic concepts suitable for Grades 5-6.

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