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### Question

The sum of two numbers is 24. Their product is 143. One of the two numbers is?

**A**

13.

**B**

14.

**C**

12.

**D**

15.

**Soln.**

**Ans: a**

Let the numbers be $a$ and $24 - a$. We are given their product as a × (24 - a) = 143, which is a quadratic expression that can be simplified to $(a - 13) × (11 - a) = 0$. So the numbers could be 13 and 11.