If the sum of two numbers is 40 and their product is 375, then those numbers are :

Question

Accepted Answer

To determine why Option 3 (25, 15) is the correct answer, we need to verify that these numbers satisfy both conditions given in the problem: their sum is 40, and their product is 375.

1. **Verification of Option 3 (25, 15):**
   - **Sum:** 25 + 15 = 40. This satisfies the condition that the sum of the numbers is 40.
   - **Product:** 25 * 15 = 375. This satisfies the condition that the product of the numbers is 375.
   - Since both conditions are met, Option 3 is indeed the correct answer.

2. **Explanation of why other options are incorrect:**

- **Option 1 (16, 24):**
     - **Sum:** 16 + 24 = 40. This satisfies the sum condition.
     - **Product:** 16 * 24 = 384. This does not satisfy the product condition, as 384 is not equal to 375.

- **Option 2 (20, 20):**
     - **Sum:** 20 + 20 = 40. This satisfies the sum condition.
     - **Product:** 20 * 20 = 400. This does not satisfy the product condition, as 400 is not equal to 375.

- **Option 4 (30, 10):**
     - **Sum:** 30 + 10 = 40. This satisfies the sum condition.
     - **Product:** 30 * 10 = 300. This does not satisfy the product condition, as 300 is not equal to 375.

In conclusion, Option 3 (25, 15) is the only pair of numbers that satisfies both the sum and product conditions given in the problem. Therefore, it is the correct answer.