I am struggling with this puzzle along with my kid, who's in algebra class. The conditions are: 1. (X.6)(y.4) = 288 2. X^2-y^2 = -5 3. X.7-3.x = 19 4. (Y-x)/(x-y)= -1 x and y has to be the same numbers throughout the 4 given conditions.

Since X.6 and Y.4 are values in the first equation, we have to assume that X and Y are whole numbers. Therefore, equations 2 and 4 are easy to decipher by plugging in random numbers and using trial and error. This does not, however, help solve equations 1 and 3. And the below results for 2 and 4 don't seem to reconcile with any plausible solutions to 1 and 3, sorry to say.

In equation 4, any whole numbers with a difference of 1 could be plugged in to get the same result. For example,

4. X = 98 Y = 99 (99-98)/(98-99) = 1 / -1 = -1

There's no hard and fast rule (at least that can be determined from this equation alone) that says Y has to be greater than X. It could be the other way around. For example,

4. X = 99 Y = 98 (98-99)/(99-98) = -1 / 1 = -1

However, in equation 2, Y has to be greater than X, since

I came up with x = 19/4 from solving for the 3rd equation. Yes, I checked again and equation 3 is correct. When solving for y using equation #2, I get 22/4. These two fit perfectly well for all equations, but doesn't fit the first equations. If I solve for y using using the first equation, then the answer doesn't fit the rest of the equations.

You lost me. How are X and Y not whole numbers? How can x = 19/4? A fraction is already a decimal written a different way. It's 4.75. The first equation includes X.6. If you plug in that number, you get 4.75.6. That's not allowed. That doesn't even mean anything.

DTASFAB said: You lost me. How are X and Y not whole numbers? How can x = 19/4? A fraction is already a decimal written a different way. It's 4.75. The first equation includes X.6. If you plug in that number, you get 4.75.6. That's not allowed. That doesn't even mean anything. "I have already made up my mind. Please don't confuse me with the facts" "I don't know a lick of math, but I will 'contribute' anyway"

ramyana said: I am struggling with this puzzle along with my kid, who's in algebra class. The conditions are: 1. (X.6)(y.4) = 288 2. X^2-y^2 = -5 3. X.7-3.x = 19 4. (Y-x)/(x-y)= -1 x and y has to be the same numbers throughout the 4 given conditions. It's not clear if we are dealing with 4 unknowns (X, Y, x, and y) or 2 (x and y).

ramyana said: I came up with x = 19/4 from solving for the 3rd equation. Yes, I checked again and equation 3 is correct. When solving for y using equation #2, I get 22/4. These two fit perfectly well for all equations, but doesn't fit the first equations. If I solve for y using using the first equation, then the answer doesn't fit the rest of the equations. You wouldn't get 22/4. You would get root of 441/16, not root of 484/16.

It's supposed to be a project and could get the parents help. My son and I both are working on it, but now it's done thanks to cucumber. We also included the graphs(our own graphs) to prove our result.

That's strange. The problem says the triangle and the rectangle are the same number in bold. If they have to be the same number, it is impossible to satisfy equation 2 and 4.

Disclaimer: By providing links to other sites, FatWallet.com does not guarantee, approve or endorse the information or products available at these sites, nor does a link indicate any association with or endorsement by the linked site to FatWallet.com.

Members of our community may attach files to a post in accordance with the User Agreement. FatWallet is not responsible for the content, accuracy, completeness or validity of any information contained in any attached file. Files have *not* been scanned for viruses. Be especially wary of Excel files which may contain malicious content.

Shopping
Earn Cash Back while you shop - just 3 simple steps.

1. Sign Up so we know who to pay! (It's FREE.)

2. Shop through FatWallet for deals from your favorite stores. Your online purchases earn Cash Back that builds in your FatWallet account.

3. Get Paid by requesting a payment via check or PayPal.

FatWallet coupons help you save more when shopping online. Use our Coupons Search to browse coupons and offers from thousands of stores, gathered into one convenient location.

Forums
As part of our FatWallet Community, you can share deals with almost a million shoppers in our forums. Forum content is generated by consumers for consumers. Share deals, money-saving tips, and more. It's FREE, fun, and addicting.

Support
Our customer experience team is here around the clock - real people ready to assist.