The sum of two numbers is 75 and their difference is 25. The product of the two numbers is :

Answer: Option B

Let the numbers are a, b
⇒ a + b = 75.....(i)
⇒ a - b = 25.....(ii)
⇒ After solving (i) and (ii)
⇒ a = 50,     b = 25
⇒ ab = 50 × 25 = 1250
So, their product is 1250