Question

Kevin is k years old. Justin is 8 years older than him. Hana is 2 times as old as Justin. What is Hana's age?

A) (k+8) years
B) (2K) years
C) (2k+8) years
D (2k+16) years

Answer 1

Hana's age is determined by first finding Justin's age, which is 8 years more than Kevin's age (k+8), and then doubling Justin's age. The correct expression for Hana's age is (2k + 16) years, which corresponds to answer choice D.

Step-by-step explanation:

The question is asking us to determine Hana's age based on given relationships between the ages of three people: Kevin, Justin, and Hana.

Let's start with the known information:

• Kevin is k years old.
• Justin is 8 years older than Kevin, so Justin's age is (k + 8) years.
• Hana is 2 times as old as Justin, so Hana's age is 2 × Justin's age.

To find Hana's age, we can multiply Justin's age by 2:

Hana's age = 2 × (k + 8)

By distributing the 2, we get:

Hana's age = (2k + 16) years

Therefore, the correct answer is D) (2k + 16) years.