Why Does 3762 + 8271 Equal What It Does?

In summary, the math problem has a base of nine, and adding two numbers with different bases results in a larger sum than the base ten sum.
  • #1
bblueblob
13
0
:confused: Can anyone help me figure out this very hard math puzzle? :confused:

2 + 2 = 4
4 + 4 = 8
142 + 468 = 621
3762 + 8271 = ?


PS. It is very confusing!
 
Physics news on Phys.org
  • #2
bblueblob said:
:confused: Can anyone help me figure out this very hard math puzzle? :confused:

2 + 2 = 4
4 + 4 = 8
142 + 468 = 621
3762 + 8271 = ?


PS. It is very confusing!
It shouldn't be! :smile: The only way the first three lines can be true is that the base is not ten. But it has to be very close to ten as the third line is very close to the correct addition for base ten: i.e., in base ten, 142+468=610. Since the result obtained above is larger then the base ten result, the base for the problem must be less than ten. Secondly, the base must be odd! Note that the third line has even numbers in the units place and the sum is odd in the units place therefore the change in parity of the units place must come from the higher entries.

Your best bet is a base of nine. Check it out and it works fine. Do the third line. Two plus eight is ten; in base nine that means one and carry one. The second place is four plus six plus the carry is eleven; in base nine that means two and carry one. Finally, one plus four plus the carry is six. So the answer in base nine is 621. :biggrin:

The fourth line is given by two plus one is three; six plus seven is thirteen (in base nine that's four and carry one); seven plus two plus the carry is ten (in base nine that's one and carry one); finally three plus eight plus the carry is twelve (in base nine that's three plus a carry). Clearly, in base nine, 3762 + 8271 = 13143. :-p

It's a cute problem -- Dick
 
  • #3
:smile: Thank You very much! :smile: undefined
 
  • #4
oh wow didnt even see this thread.. i am confused on the bases though.. how do you add with a different base? i know you wrote it above but ihave no idea why you are counting like that.
 

Related to Why Does 3762 + 8271 Equal What It Does?

1. What is the "A very hard math puzzle"?

"A very hard math puzzle" is a complex mathematical problem that requires advanced analytical and problem-solving skills to solve.

2. How difficult is "A very hard math puzzle" to solve?

The difficulty level of "A very hard math puzzle" can vary depending on the specific puzzle. Some may be more challenging than others, but all require a high level of mathematical knowledge and critical thinking.

3. Is there a specific strategy or approach to solving "A very hard math puzzle"?

There is no one specific strategy that can be applied to all "A very hard math puzzles." However, some general approaches that can be helpful include breaking the problem down into smaller parts, trying different techniques, and thinking creatively.

4. Can anyone solve "A very hard math puzzle"?

While anyone can attempt to solve "A very hard math puzzle," it requires a strong foundation in mathematics and problem-solving skills. It may not be possible for everyone to solve these puzzles.

5. Are there any benefits to solving "A very hard math puzzle"?

Yes, solving "A very hard math puzzle" can improve critical thinking skills, problem-solving abilities, and overall mathematical knowledge. It can also be a fun and rewarding challenge for those who enjoy solving complex problems.

Similar threads

  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
Replies
23
Views
465
  • Introductory Physics Homework Help
Replies
16
Views
747
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
12
Views
337
  • Introductory Physics Homework Help
Replies
16
Views
2K
  • Introductory Physics Homework Help
Replies
15
Views
584
  • Introductory Physics Homework Help
Replies
1
Views
804
  • Introductory Physics Homework Help
Replies
10
Views
987
Replies
1
Views
1K
Back
Top