Brain Teasers
Equations
What values of X and Y would make these equations work?
6751X + 3249Y = 26751
3249X + 6751Y = 23249
6751X + 3249Y = 26751
3249X + 6751Y = 23249
Answer
Add the equations to give: 10000X + 10000Y = 50000Divide by 10000 to give: X + Y = 5
Subtract to give: 3502X - 3502Y = 3502
Divide by 3502 to give: X - Y = 1
Therefore: X = 3 and Y = 2
Hide Answer Show Answer
What Next?
View a Similar Brain Teaser...
If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.
Solve a Puzzle
Comments
I really like this. It looks so scary but turns out to be fairly easy. If you spot that the two numbers addd to 10000 it helps. Great teaser!
I really like this. It looks so scary but turns out to be fairly easy. If you spot that the two numbers add to 10000 it helps. Great teaser!
how did you choose 50000?
Yeah, no need to use the equations to solve this one. The last four digits of each answer match the coefficient of x. That right there establishes that (x-1) = y and (x-1+y)/2 * (3249 + 6751) = 20000 which quickly leads (if not already noticed) that 3249 + 6751 = 10000. The rest is simple from there.
A few seconds in my head for the whole thing.
A few seconds in my head for the whole thing.
The answer given doesn't follow basic algebra though.
From
X + Y = 5
To
3502X - 3502Y = 3502
To make 5 = 3502, have to multiply both sides by 700.4. So it'd be
700.4X + 700.4Y = 3502
From
X + Y = 5
To
3502X - 3502Y = 3502
To make 5 = 3502, have to multiply both sides by 700.4. So it'd be
700.4X + 700.4Y = 3502
To post a comment, please create an account and sign in.
Follow Braingle!