On the line segment
,
depends only on
:

Find the critical points of
.

At this critical point, we have

Check the value of
at the endpoints of the line segment.


So we have

Answer:
Aman's age = 20, Arun's age = 28
Step-by-step explanation:
Let
= Aman's age
Let
= Arun's age
- - - -
(Sum of their age is 56 after 4 years in the future)


(Ages are in the ratio 5:7)

Now, we can use substitution to find for Arun's age:



∴ Arun is 
To find for Aman's age, we can use substitution:



∴ Aman is 20
Hope this helps :)
I don’t think it had an outlier. The 25th percentile is 47. The 50th percentile is 65. The 75th percentile is 86, and the interquartile range is 39. I hope this helps... :)