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### Question

The sum of two numbers is 30. Their product is 161. One of the two numbers is?

**A**

23.

**B**

24.

**C**

22.

**D**

25.

**Soln.**

**Ans: a**

Let the numbers be $a$ and $30 - a$. We are given their product as a × (30 - a) = 161, which is a quadratic expression that can be simplified to $(a - 23) × (7 - a) = 0$. So the numbers could be 23 and 7.