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Let's solve question 51:

**Question:**
The sum of 15% of a positive number and 20% of the same number is 126. What is one-third of that number?

Let the positive number be \( x \).

The sum of 15% of \( x \) and 20% of \( x \) is given as 126. This can be written as:
\[
0.15x + 0.20x = 126
\]

Simplify the left side:
\[
0.35x = 126
\]

Now, solve for \( x \):
\[
x = \frac{126}{0.35} = 360
\]

So, the number is 360.

The question asks for one-third of that number:
\[
\frac{360}{3} = 120
\]

**Answer:** The correct answer is (c) 120.

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Let me know if you'd like more details or have any other questions!

Here are 5 related questions:
1. What is 10% of 360?
2. If 25% of a number is 90, what is the number?
3. How do you find a percentage of a number?
4. What is one-fifth of 200?
5. If the sum of 30% and 40% of a number is 210, what is the number?

**Tip:** When working with percentages, converting them to decimals (e.g., 15% = 0.15) helps simplify the equation and calculations.

The sum of 15% of a positive number and 20% of the same number is 126. What is one-third of that number?

Solve the problem where the sum of 15% and 20% of a number is 126. Learn how to find the number and calculate one-third of it with step-by-step explanation. This question covers basic algebra and percentage concepts, suitable for Grades 7-9.

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