Talking about birthdays in English
Think about it: a birthday isn't really an achievement. You didn't do anything except make it another year. And yet there's cake, there are songs, and there are very specific things you're supposed to say. And a few you really shouldn't. It starts with two words.
"Happy Birthday" is the default, and it works in almost every situation. If you want to add a little more, "Hope you have a great day" or "Wishing you a wonderful year ahead" both add a little warmth without trying too hard.
What doesn't work is "Congratulations." In English, “congratulations” is for achievements like finishing a degree, getting a job, or having a baby. A birthday isn't something you accomplished. It just happened. Saying it on someone's birthday will get you a puzzled look.

If you want something a little more traditional, "Many happy returns" is a classic English expression that means you're hoping they have many more birthdays ahead. It's more common in British English but still widely understood.
Some people also stretch their birthday across several days or even a whole month. If someone mentions their "birth week" or their "birth month," they're just celebrating in phases, usually with different groups of people. "Happy birth month" works fine in that context.
In some cultures, age is just a number you state openly, the same way you'd mention where you're from. In English-speaking cultures, it's a little more loaded than that.
As a rule, asking someone their age directly can feel intrusive, especially once people are past their twenties. It's not that age is shameful, but there's a sensitivity around it. With close friends or children, “How old are you turning?” is perfectly fine. But if someone doesn't bring it up, it's usually best to leave it alone.
That said, milestone birthdays are a different story. Turning 21, 30, 50, or any other number that feels significant tends to get announced rather than hidden. 21 is a big one in the US since it's the legal drinking age, and people turning 21 tend to make it known.

When age does come up and someone doesn't want to answer directly, you'll often hear something like "old enough to know better" or "let's just say I've been around a while." If you hear one of these, just smile and move on. Here are a few things you might hear:
It happens. You meant to say something, the day passed, and now it's a few days later, and you're not sure whether to say anything at all. The answer is yes, say something.
"Happy belated birthday" is a good place to start. "Belated" just means late, so you're acknowledging that you're a little behind. It's simple, widely understood, and most people appreciate it more than silence.
Just keep it genuine and don't over-apologise. A long explanation of why you forgot can end up making it more about you than about them. A quick "I missed your birthday, hope it was a great one" usually does the job.

So the next time someone's birthday comes around, you know exactly what to say. And if you happen to forget, you'll know how to smooth it over too. Just hopefully it's not someone too important, because there's only so much we can do.
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