Discussion of Question with ID = 087 under Problems-on-Numbers

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Question

The sum of two numbers is 10. Their product is 9. One of the two numbers is?

A

9.

B

10.

C

8.

D

11.

Soln.
Ans: a

Let the numbers be $a$ and $10 - a$. We are given their product as a × (10 - a) = 9, which is a quadratic expression that can be simplified to $(a - 9) × (1 - a) = 0$. So the numbers could be 9 and 1.


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