If three times a boy’s age is increased by 3, it will equal his sister’s age. The sum of their ages now is 23. How old are the boy and his sister? Let x = boy’s age. 3x + 3 = sister’s age.
As requested, x = boy's age
Sister's age: 3x + 3
We then get: x + 3x + 3 = 23 <==== You do have this!!
Can't you solve for x, the boy's age?