Discussion of Question with ID = 027 under Problems-on-Numbers

This is the discussion forum for this question. If you find any mistakes in the solution, or if you have a better solution, then this is the right place to discuss. A healthy discussion helps all of us, so you are requested to be polite and soft, even if you disagree with the views of others. The question and its current solution has also been given on this page.

Advertisement

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.


Comments and Discussion