ok solve this question: 
nida goes for a walk every 10 days and sehrish goes for a walk every 25 days to the same park. if they went for a walk today then how many days from now will they next to be in the park on the same day 
explain the question and explain you're answer

### Problem Explanation:

This is a typical **least common multiple (LCM)** problem. The question asks when two events that happen at different intervals will coincide again.

- **Nida** goes for a walk every **10 days**.
- **Sehrish** goes for a walk every **25 days**.
  
Today, they both went for a walk. The question asks how many days from now they will again be in the park on the same day.

### Approach:

To find out when they will both be in the park on the same day again, we need to calculate the **LCM (Least Common Multiple)** of the two numbers: 10 and 25. The LCM of two numbers is the smallest number that both numbers divide into without leaving a remainder.

### Step-by-Step Solution:

1. **Prime Factorization**:
   - The prime factorization of 10 is: \( 10 = 2 \times 5 \)
   - The prime factorization of 25 is: \( 25 = 5 \times 5 \)

2. **LCM Calculation**:
   The LCM is found by taking the highest powers of all primes that appear in the factorizations of both numbers.
   - The highest power of 2 is \(2^1\).
   - The highest power of 5 is \(5^2\).

   So, the LCM is:
   \[
   \text{LCM} = 2^1 \times 5^2 = 2 \times 25 = 50
   \]

Thus, the next time both Nida and Sehrish will be in the park on the same day is in **50 days**.

### Final Answer:
They will both be in the park again in **50 days** from now.

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Would you like further details or have any questions about this problem?

### 5 Related Questions:
1. What if Nida goes for a walk every 12 days instead of 10? When will they meet again?
2. How do you calculate the greatest common divisor (GCD) of two numbers?
3. Can the LCM of two numbers be smaller than one of the numbers? Why or why not?
4. What happens if Nida and Sehrish start walking on different days? How would that change the solution?
5. How can the concept of LCM be applied in scheduling tasks or events in real life?

### Tip:
When calculating the LCM, remember that the LCM of two numbers is always greater than or equal to the largest of the two numbers, unless the numbers are the same.

nida goes for a walk every 10 days and sehrish goes for a walk every 25 days to the same park. if they went for a walk today then how many days from now will they next be in the park on the same day explain the question and explain you're answer

Discover how to solve a least common multiple (LCM) problem where Nida walks every 10 days and Sehrish walks every 25 days. Learn how to calculate the LCM using prime factorization, and find out when they will next meet at the park, explained step-by-step for Grades 6-8 students.

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