BdMO Online Forum

A direct application of this.

I worked on this one. And here I've posted a solution that doesn't resort to Jensen's inequality.

I approached it using the cosine law but the equation got really ugly and I stopped. To be honest, I didn't even read all the problems properly. I pretty much solved all of the ones I attempted but I didn't attempt all of them. That is one of my greatest flaws in problem-solving. I tend to give up t...

Okay, I'll begin!

How many (out of 10) did all of you manage to solve?

I got two 'received' mails from you and another one saying you got my images. Is that all?

Mursalin.

@ Nayel Bhaiya:

I've sent this day's solutions to your email address, nayel71@gmail.com.
Acknowledge if you get my mail.

Mursalin.

@Nayel Bhaiya:

I have sent you an email with the solutions at your email address, nayel71@gmail.com.

I have properly formatted all the math symbols in LaTeX.

I'll be looking forward to hearing from you.

Mursalin.

@ Ira:

Here is a hint.

You arrived at these equations:
$x(x+y)=126$,
$z(y+z)=702$

Put $48-z=x+y$ and
$48-x=y+z$.

Now subtract the former from the latter.

Hope this helps!

You can click on the original-problem-link and see the solution but I don't recommend that. It's not good to give up on a problem that easily!

Everything you did is correct. And you shouldn't get multiple solutions. Would you like a hint?

@Fahim

Nicely done!