Question

Kayla is 9 years older than twice Hannah's age. If the difference in their age is 16, how old is Kayla? How old is Hannah?

Answer 1

Let's set Hannah's age to `H`

Explanation:

Then Kayla's age `K=2xxH+9`

We know that `K-H=16` and if we replace `K`:

`(2xxH+9)-H=16->2H-H+9=16->` subtract `9`

`H+cancel9-cancel9=16-9->H=7`

Check:
Kayla: `K=2xx7+9=23`
The difference `K-H=23-7=16`
This all checks out.