इस उलझन का हल आसान है।

Because इस is the oblique form of यह.

In Hindi, words like यह (this) and वह (that) often change form when they come before a postposition such as का, को, में, से.

Here, इस उलझन का contains the postposition-like genitive marker का, so यह becomes इस.

• यह उलझन = this confusion
• इस उलझन का = of this confusion / this confusion’s

A similar pattern is:

• वह → उस
• वह आदमी = that man
• उस आदमी का नाम = that man’s name

Yes, उलझन is feminine, but का/की/के agrees with हल, not with उलझन.

In Hindi, in a structure like X का Y (Y of X / X’s Y), the genitive marker agrees with the thing that comes after it: Y.

Here:

• इस उलझन = of this confusion
• हल = solution
• हल is masculine singular

So we say:

• इस उलझन का हल

If the following noun were feminine, then it would be की:

• इस उलझन की वजह = the reason for this confusion

If it were masculine plural, it would be के:

• इस उलझन के कारण = the causes of this confusion

उलझन can mean things like:

• confusion
• complication
• difficulty
• dilemma
• mental puzzlement

So in this sentence, it could be understood as:

• this confusion
• this complication
• this dilemma

The exact English translation depends on context. It is not always just emotional confusion; it can also refer to a tricky situation.

हल means solution, answer, or remedy.

In this sentence, इस उलझन का हल means:

• the solution to this confusion
• the answer to this complication
• the way to resolve this dilemma

A very common equivalent word is समाधान, which is a bit more formal:

• इस उलझन का समाधान आसान है।

That means almost the same thing.

A close word-by-word breakdown is:

• इस = this
• उलझन = confusion / complication
• का = of
• हल = solution
• आसान = easy
• है = is

So literally, it is something like:

Of this confusion, the solution easy is.

But natural English would be:

• The solution to this confusion is easy.
• This confusion is easy to solve.

Some Hindi adjectives change form, and some do not.

आसान is an adjective that normally does not change for gender or number in this kind of use. So it stays आसान whether the noun is masculine, feminine, singular, or plural.

Examples:

• हल आसान है। = The solution is easy.
• तरकीब आसान है। = The method is easy.
• कदम आसान हैं। = The steps are easy.

By contrast, a changing adjective would be something like अच्छा / अच्छी / अच्छे.

So:

• अच्छा हल
• अच्छी तरकीब
• अच्छे तरीके

But आसान stays the same.

Yes. This is normal Hindi sentence structure.

Hindi often puts the main descriptive word before है:

• हल आसान है = the solution is easy
• घर बड़ा है = the house is big
• लड़का तैयार है = the boy is ready

So the pattern is:

subject + description + है

Here the subject is:

• इस उलझन का हल

And the description is:

• आसान

Then comes:

• है

This is completely standard.

No. Hindi does not usually use articles like a, an, and the the way English does.

So इस उलझन का हल आसान है has no separate word for the, but in English we often add it naturally:

• The solution to this confusion is easy.

Hindi leaves that kind of definiteness to context.

Yes. That is a very natural English rendering.

The Hindi sentence is literally about the solution being easy, but in English we often rephrase it more smoothly as:

• This confusion is easy to solve.
• This problem has an easy solution.

So the core meaning stays the same even if the English wording changes.

A rough pronunciation is ul-jhan.

A few notes:

• उ sounds like u in put or full (roughly)
• ल = l
• झ is an aspirated jh sound
• न = n

So you can think of it roughly as:

ul-jhun / ul-jhan

Depending on accent and speed, the exact vowel quality may vary a bit, but uljhan is a good learner-friendly guide.

It is perfectly natural and understandable. It sounds normal, though slightly neat or textbook-like depending on context.

People could also say similar things like:

• इस उलझन का हल आसान है।
• इस समस्या का हल आसान है। = The solution to this problem is easy.
• इसे सुलझाना आसान है। = It is easy to solve this.

So your sentence is correct and natural; the exact wording just depends on what shade of meaning you want.