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The problem you have shared states that two numbers are in the ratio \( 1 \frac{1}{2} : 2 \frac{2}{3} \), and there is additional information not fully visible yet, starting with "But if each number is increased by 15, ..."

Let’s begin by interpreting the given ratio. The two numbers are:

\[
\frac{3}{2} : \frac{8}{3}
\]

This ratio can be used to express the two numbers in terms of a common variable \(x\):

1. Let the first number be \( \frac{3}{2}x \).
2. Let the second number be \( \frac{8}{3}x \).

The rest of the problem, which isn't fully visible, likely provides a condition involving the increase of both numbers by 15. If you'd like, I can assist further once you provide more details.

Would you like me to continue solving for these numbers, or would you prefer to upload a clearer or fuller version of the question? 

Let me know if you'd like detailed explanations on the next steps! Here are 5 related questions to extend your understanding:

1. How can we simplify the ratio \( \frac{3}{2} : \frac{8}{3} \)?
2. How do you express numbers in terms of a common variable using ratios?
3. What effect does increasing both numbers by a constant (like 15) have on their ratio?
4. How do you solve equations involving unknowns when ratios and conditions are given?
5. What happens when both parts of a ratio are increased by the same value?

**Tip**: To work with fractional ratios, it’s helpful to first convert them to improper fractions before manipulating them in equations.

Two numbers are in the ratio 1 1/2 : 2 2/3. But if each number is increased by 15...

Learn how to solve a ratio problem where two numbers are in the ratio 1 1/2 : 2 2/3, and both numbers are increased by 15. This step-by-step solution covers key concepts in ratios and algebra. Suitable for students in Grades 7-10.

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