Question

The difference between two numbers is 5. If the larger number is k, what is the other number? Write a simplified expression for the product of both numbers.

A) k - 5
B) k + 5
C) 5 - k
D) 5k

Answer 1

The smaller number when the difference between two numbers is 5 and the larger number is k is k - 5. The simplified expression for the product of both numbers is k * (k - 5).

Step-by-step explanation:

The question asks us to find the expression for the smaller number when the difference between two numbers is 5, and the larger number is represented by k. Additionally, we need to write a simplified expression for the product of both numbers. If the difference between the two numbers is 5 and the larger number is k, the smaller number would be k - 5. Hence, the correct option for the smaller number is A) k - 5.

Furthermore, to find the product of both numbers, we multiply the larger number (k) by the smaller number (k - 5).

Product of both numbers:

k * (k - 5)

This expression represents the product of the larger number and the smaller number.