Question

8.) Write an inequality that can be used to represent this situation, where x represents Olivia’s sister’s age. (Short answer)

Olivia is 6 years older than her sister. The sum of their ages is no more than 28 years.


Bonus: What is the oldest age her sister can be?

please show work!! It took me ages to try to solve this!

thank you future answers! :D

Answer 1

Answer:

The oldest age of Olivia’s sister can be 11 years.

Step-by-step explanation:

Given: Olivia’s sister’s age is x years.

To write: inequality that can be used to represent the given situation.

As Olivia is 6 years older than her sister,

Olivia's age $=x+6$

As the sum of their ages is no more than 28 years,

$x+(x+6)\leq 28\\2x+6\leq 28\\2x\leq 28-6\\2x\leq 22\\x\leq \frac{22}{2}\\ x\leq 11$

So, the oldest age of Olivia’s sister can be 11 years.