Question

Kirsten's mom is two years less than three times as old as Kirsten. If k represents Kirsten's age, which of the following expressions can be used to represent the sum of their ages? Select all that apply.Options:2 k2(2 k - 1)4 k - 23 k - 3(3 k - 2) + k3( k - 1)

Answer 1

Step 1

If k represents Kirsten's age

Kirsten's mum age = 3k - 2 years

Step 2

Sum of their ages

`\begin{gathered} =\text{ k + 3k - 2} \\ \text{= 4k - 2} \\ =\text{ 2\lparen2k - 1\rparen} \end{gathered}`

Final answer

2(2 k - 1)

4 k - 2

(3 k - 2) + k