Question

The product of two successive numbers is 9506.Which is the smaller of the two numbers?

Answer 1

97 is a smaller of two number.

Description for Correct answer:

From the given alternatives,

97×98=9506

∴ Smaller number = 97

Answer 2

Let the First Number be : F

⇒ The Successive Number of F is : (F + 1)

Given : The Product of these Successive Numbers is 9506

⇒ F(F + 1) = 9506

⇒ F² + F = 9506

⇒ F² + F - 9506 = 0

⇒ F² + 98F - 97F - 9506 = 0

⇒ F(F + 98) - 97(F + 98) = 0

⇒ F = -98 or F = 97

Case - One : If F = -98

⇒ F + 1 = (-98 + 1) = -97

In this case, The Smaller Number of the Two Numbers is -98

Case - Two : If F = 97

⇒ F + 1 = (97 + 1) = 98

In this case, The Smaller Number of the Two Numbers is : 97