The ages of three siblings combined are 22. The middle is 2 years older than the youngest and the oldest is three-times older than the youngest. What are the ages of each sibling?

Let x be the age of youngest sibling.

x = 22 - 2-x - 3x

x+3x+x = 22 - 2

5x=20

x = 20/5

x=4

now that we know the youngest sibling is 4 years old. We can calculate the middle and the oldest.

Middle: 4+2=6 years old

Oldest = 3*4=12 years old

check answer: 12+6+4

=22