Question : The sum of the two numbers is 75, and their difference is 25. The product of the two numbers is:
Option 1: 1350
Option 2: 1250
Option 3: 410
Option 4: 1000
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Correct Answer: 1250
Solution : Given: The sum of the two numbers is 75, and their difference is 25. We know, The bigger number = $\frac{\text{Sum + Difference}}{2}$ = $\frac{75 + 25}{2}$ = 50 So, the smaller number = (75 – 50) = 25 Therefore, the product of the two numbers = (50 × 25) = 1250 Hence, the correct answer is 1250.
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