Question 1096899
<br>The problem says Anthony will be twice as old as Matthew 3 years from now.  So 3 years from now Matthew will be half as old as Anthony.<br>
The problem also says that when Matthew is half as old as Anthony, Steve will be 5.  So that must be 3 years from now.<br>
Since the sum of their current ages is 71, the sum of their ages 3 years from now will be 80.<br>
We know that 3 years from now Steve will be 5, so the sum of Matthew's and Anthony's ages 3 years from now will be 75.  And if at that time Anthony will be twice as old as Matthew, it means Anthony will be 50 and Matthew will be 25.<br>
So the ages 3 years from now will be 5, 25, and 50; the current ages are 2, 22, and 47.<br>
Check: 47+22+2 = 71