NeoPets Riddles (Lenny Conundrums) and Answers Here

Seems like rather simple algebra, but math is not my forte, and I probably messed something up.

Could you give me a hint to how to solve this problem please? I"m really stuck :/

sum of the digits in my answer was 6

it's a quadratic equation that you need to solve to get the lengths of the walls.

the solution is a nice whole number, and the sum of the digits is 6, yes

I'm so confused.
Area = lxw
6x?=answer

area = area of bedroom + area of bathroom = (length of bedroom wall) * (length of bedroom wall) + (length of bathroom wall) * (length of bathroom wall)

6 is the sum of the digits in the answer. So one potential answer is 42, because 4 + 2 = 6.

I got an answer where the sum of the digits equal 6 but I feel like I did it wrong. =P

Oh well, there's always next time.

(I already submitted my answer)

well you can always check whether the lengths of the walls you got satisfy the conditions given in the puzzle

What I'm wondering is how hard they had to work to come up with two numbers that differ by an integer, have a product of an integer and the sum of whose squares is an integer. Now that would be an interesting LC. Of course, you would have to restrict it in some way, or there are an infinite number of solutions.

For the record, this week's prize is a Royal Hot Dog.

I got sum of digits 5. Figured this one was beyond me, even though it seemed to be easy.

Check your wall lengths. Do they have a difference of 9 and a product of 12? And make sure you don't round too early - you'll want to keep as many decimal digits as possible until the end.

hahahaa, indeed!

I doubled checked my work.

Turns out that I put a "*" in a place where I should have put "+". When I used addition instead, I apparently got the right answer.

It's haaarrrddd... D:

If you can't solve this, you probably haven't learn the necessary maths yet in school. You don't even need to find out the length of the walls.

(a - b)(a -b) = a^2 - 2ab + b^2

You're given that a - b = 9, and ab = 12.

Go on..put the pieces together.

beautifully done!

I got this one myself this time. Pretty easy.
Indeed, I got a sum of 6 from the digits too.

Probably not in the top 250 again. Guess I'm doomed for living in the Netherlands.

In the Royal Neopian Neolodge, your nightly hotel price gets you a bedroom and a bathroom. Each room is perfectly square. If you take the length of one of the walls of the bedroom, and subtract the length of one of the walls of the bathroom, you'll find that the difference is 9 metres. Now, if you multiply the length of the bedroom wall by the length of the bathroom wall, you'll find that the product is 12 square metres.

What is the total area, in square metres, of the bedroom plus the bathroom? Round to the nearest whole number, if necessary, and please submit only a number.

so the answer could be 60,51,42,33,24,15, or 06.