Question 1067953
Let's have Joseph's age be x. 

We know Rap is "three times as old as Joseph" = 3x
We know Don is "five more than twice as old as Joseph" = 5 + 2x. 

The sum of all of their ages (x, 3x, and 5 + 2x) is equal to 29. 

{{{x + 3x + 5 + 2x = 29}}}
Solve for x. 

{{{6x + 5 = 29}}}
{{{6x = 24}}}
{{{x = 4}}}

Joseph's age is 4, so Rap's age is 3(4) = 12 and Don's age is 5 + 2(4) = 13.

Check: 4 + 12 + 13 = 29 (this works!) 

ANSWER:
JOSEPH = 4 years old
RAP = 12 years old
DON = 13 years old