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### Question

The sum of two numbers is 14. Their product is 45. One of the two numbers is?

**A**

9.

**B**

10.

**C**

8.

**D**

11.

**Soln.**

**Ans: a**

Let the numbers be $a$ and $14 - a$. We are given their product as a × (14 - a) = 45, which is a quadratic expression that can be simplified to $(a - 9) × (5 - a) = 0$. So the numbers could be 9 and 5.