We are using the subjunctive. But in English it wouldn't work if we said "I hope I had a son by the time I'm 33", because we are talking here about a future event, so we have to say it in the present "I hope I have..."
In Spanish, you can either use the present subjunctive or the imperfect subjunctive (ojalá tenga...- ojalá tuviera); the imperfect subjunctive would create the idea of "less probability".
We are testing conjugation here so we can only admit "tuviera" -the hint is asking for conjugation of the imperfect subjunctive of tener.
I hope this clarified it.
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